Derivatives Quizzes, Questions & Answers

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Definition Of Derivative Quizzes

Can you interpret and/or estimate instantaneous rate of change in multiple representations?

Questions: 5 | Attempts: 712 | Last updated: Mar 21, 2025

Sample Question
The graph shows y = f(x) in purple. Which line has a slope equal to the rate expression shown?

Line a

Line b

Line c

Line d

This quiz will test your knowledge of the limit definition of a derivative. You are to answer the questions to the best of your ability, and submit your answers no later than...

Questions: 5 | Attempts: 476 | Last updated: Feb 19, 2025

Sample Question
What is the derivative of x^2?

Derivative of a Function

.How are a function and its derivative related? When does the derivative not exist?

Questions: 8 | Attempts: 439 | Last updated: Mar 21, 2025

Sample Question
Check all of the options which represent the derivative of f(x) = x4.

Option 1

Option 2

Option 3

Option 4

All Definition Of Derivative Quizzes

Power Rule Quizzes

Power Rule: Negative & Fractional Exponents

Ready to take it up a notch? This quiz mixes Power Rule skills with smart algebra moves, like simplifying exponent expressions before differentiating, finding second derivatives, a...

Questions: 15 | Attempts: 15 | Last updated: Dec 16, 2025

Sample Question
Find the derivative of f(x) = x^8.

8x⁷

7x^8

X⁷

8x^8

Power Rule in Applied Problems

Want to master Power Rule applications in tougher formats? In this quiz, you’ll handle fractional coefficients, binomial powers, radicals written as exponents, and expression...

Questions: 15 | Attempts: 11 | Last updated: Dec 16, 2025

Sample Question
Find the derivative of y = x⁷.

7x⁶

6x⁷

X⁶

7x⁵

Power Rule Basics

Ready to build your calculus basics? In this quiz, you’ll practice the Power Rule on straightforward polynomial functions—starting with simple powers and moving into ex...

Questions: 15 | Attempts: 10 | Last updated: Dec 15, 2025

Sample Question
What is the derivative of f(x)=x⁵?

5x⁴

X⁴

5x⁶

X⁶

All Power Rule Quizzes

Product Rule Quizzes

Differentiation Basic Rules Quiz

Check out our online quiz and test your understanding of Differentiation concepts, rules, and solve some simple questions for us.

Questions: 10 | Attempts: 1055 | Last updated: Sep 10, 2025

Sample Question
Differentiate y=3x4-5x

3x3-5

12x3-5

12x3+5

12x2

Test Your Knowledge With The Derivative Rules Assessment Test

Think you are a Maths expert? How much do you know about Differentiation? To find many derivatives, we follow rules namely the multiplication by constant, Power Rule, Sum Rule, Dif...

Questions: 10 | Attempts: 465 | Last updated: Mar 22, 2025

Sample Question
To find the antiderivative for a function, you...

Reverse the process of differentiation

Derive the function

Multiply the function

Differentiate

Advanced Placement Calculus Final Exam Sample Test!

Hey, all of you young mathematicians, welcome to this short and essential Advanced Placement Calculus sample quiz! Here you are going to face ten most important questions on the sa...

Questions: 10 | Attempts: 268 | Last updated: Mar 21, 2025

Sample Question

1/2

2

3

-0.5

All Product Rule Quizzes

Quotient Rule Quizzes

Quotient Rule Basics

Are you ready to divide and differentiate at the same time? In this quiz, you’ll learn how to use the Quotient Rule to find derivatives of functions written as one expression...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
What is the derivative of f(x) = (x² + 3)/(x - 1)?

(2x(x - 1) - (x² + 3))/(x - 1)²

(2x(x - 1) + (x² + 3))/(x - 1)²

(2x)/(x - 1)

(x² + 3)/(x - 1)²

Quotient Rule with Rational Functions

Think you’ve got the quotient rule figured out? This quiz helps you sharpen your skills with more challenging quotients that include trigonometric, exponential, logarithmic, ...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
What is the derivative of f(x) = (4x² - 3)/(2x + 1)?

(8x(2x + 1) - (4x² - 3)(2))/(2x + 1)²

(8x(2x + 1) + (4x² - 3)(2))/(2x + 1)²

(8x)/(2)

(4x² - 3)/(2)

Quotient Rule Mastery & Applications

Ready to take the quotient rule to the next level? In this quiz, you’ll tackle advanced problems that combine the Quotient Rule with the Chain Rule, evaluate derivatives at s...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
Find the derivative of f(x) = (x² + 3) / (x + 1)

[(2x)(x + 1) - (x² + 3)(1)] / (x + 1)²

[(2x)(x + 1) + (x² + 3)(1)] / (x + 1)²

[(2x)(1) - (x² + 3)(1)] / (x + 1)

(2x) / (1) - (x² + 3) / (x + 1)

All Quotient Rule Quizzes

Chain Rule Quizzes

Rate of Change Practice Formative Assessment

This Rate of Change Practice Formative Assessment evaluates understanding of rate changes across various contexts, including population growth, temperature variations, and travel d...

Questions: 5 | Attempts: 571 | Last updated: Mar 22, 2025

Sample Question
Which statement about rate of change is true?

It measures the increase or decrease of a function.

It measures change over time

Product, Quotient & Chain Rules Assessment Test

We welcome you to our informative Product, Quotient & Chain Rules Assessment Test. In calculus, the product, quotient, and chain rules are methods of finding the deri...

Questions: 10 | Attempts: 275 | Last updated: Sep 06, 2025

Sample Question
If the two functions f(x) and g(x) are differentiable (i.e. the derivative exist) then the product is differentiable is called the...

Product rule

Quotient rule

Power rule

Chain rule

All Chain Rule Quizzes

Derivatives Of Trig Quizzes

Trigonometric Derivatives Quiz

Are you ready to test your calculus skills and deepen your understanding of trigonometric functions? Dive into our Trigonometric Derivatives Quiz, specifically designed to challeng...

Questions: 12 | Attempts: 7129 | Last updated: May 15, 2025

Sample Question
What is the derivative of y=sin(x)?

Y'= sin(x)

Y'= cos(x)

Y'= tan(x)

Y'=1/(1+x^2)

Evaluasi #3: Turunan Fungsi Trigonometri

Kuis ini dibuat oleh selingkarrumahmatematika.blogspot.com Silakan kerjakan 10 butir soal tentang Turunan Fungsi Trigonometri berikut:

Questions: 10 | Attempts: 876 | Last updated: Jul 16, 2025

Sample Question
Jika

Trigonometric Derivatives and Anti-Derivatives

This quiz focuses on the derivatives and anti-derivatives of trigonometric functions, specifically assessing the derivative of sin(x) multiplied by cos(x), with the answer being co...

Questions: 12 | Attempts: 205 | Last updated: Sep 17, 2025

Sample Question
$\frac{d}{dx}(sinx)$

-sinx

Cosx

Sinx

-cosx

All Derivatives Of Trig Quizzes

Implicit Differentiation Quizzes

What did the Circle Say to the Tangent line?

Choose and remember the correct letter for each problem and answer the question at the end of the quiz.

Questions: 17 | Attempts: 140 | Last updated: Mar 22, 2025

Sample Question
Find dy/dx for x⁷+x⁵+x(-³)

(t) 7x⁶+5x⁴-3x(-⁵) )

(s) 7x⁶+5x⁴-3x(-⁴)

(d) x⁷+5x⁴-3x(-²)

Implicit Differentiation Fundamentals

Are you ready to differentiate without solving for y? In this quiz, you’ll learn the basics of implicit differentiation by working with equations where x and y are mixed toge...

Questions: 15 | Attempts: 12 | Last updated: Dec 16, 2025

Sample Question
What is the first step when finding dy/dx for the equation x² + y² = 25 using implicit differentiation?

Substitute y = 0 into the equation

Solve for y explicitly before differentiating

Differentiate both sides of the equation with respect to x

Move all terms to one side of the equation

Implicit Differentiation with Products & Mixed Terms

Think you’ve got the idea of implicit differentiation? This quiz helps you build confidence with more involved equations, including product terms, powers of y, and expression...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
What does the chain rule tell us about differentiating terms with y when y is a function of x?

Terms with y have a derivative of 0

Terms with y keep their original coefficient only

We multiply by dy/dx when differentiating terms with y

We ignore terms with y in the differentiation process

All Implicit Differentiation Quizzes

Tangents And Slopes Quizzes

Linear Functions-Points and Slopes

This quiz focuses on Linear Functions, specifically calculating slopes and understanding linear relationships. It assesses the ability to find slopes from points, interpret linear ...

Questions: 15 | Attempts: 1433 | Last updated: Aug 21, 2025

Sample Question
Calculate the slope of the line that goes through A(-4, 5) and B(2, -7)

2

-1/2

1/2

-2

soal soal persamaan garis singgung pada kurva dan turunan III

This quiz covers calculus topics such as derivatives and equations of tangent lines to curves. Questions involve calculating derivatives and finding tangent line equations at given...

Questions: 11 | Attempts: 1316 | Last updated: Mar 22, 2025

Sample Question
Jika f(x) = ( 2x – 1 )² ( x + 2 ), maka f’(x)

4 ( 2x – 1 ) ( x + 3 )

2 ( 2x – 1 ) ( 5x + 6 )

( 2x – 1 ) ( 6x + 5 )

( 2x – 1 ) ( 6x + 11 )

Derivatives Quiz: Take The Test Now!

You know that terrifying moment when your math teacher says, "Let’s begin with derivatives", and suddenly your brain does a backflip? Yeah, been there. The graphs s...

Questions: 12 | Attempts: 245 | Last updated: Jul 30, 2025

Sample Question
If you expected a stock to fall but wanted to hold on to the stock due to the voting rights, you would be wise to _____.

Buy a call option

Go long the stock

Buy a put option

Write a put option

All Tangents And Slopes Quizzes

Optimization Problems Quizzes

Mathematics: Linear Programming Quiz

Linear programming is most popular among business people and could be used by anyone and requires a thorough understanding to maneuver through. This mathematics quiz tests how well...

Questions: 15 | Attempts: 2629 | Last updated: Sep 02, 2025

Sample Question
Maximize Z = 3x + 4y Subject to the constraints: x + y < 4, x > 0, y > 0 Find the maximum value of Z?

16

14

12

10

aplikasi nilai maksimum dan nilai minimum

This quiz explores optimization problems in various contexts, such as maximizing or minimizing areas, volumes, and lengths through mathematical principles.

Questions: 10 | Attempts: 495 | Last updated: Mar 22, 2025

Sample Question

The Certificate of Numerical Methods Exam Be Carefully

This exam assesses proficiency in Numerical Methods, focusing on skills such as the Newton Raphson method, differentiation, and iterative formulas. It evaluates critical thinking a...

Questions: 10 | Attempts: 318 | Last updated: Mar 18, 2025

Sample Question
The value of y’/x’ in terms of the angle 0 is given by _____________

Tanθ

Secθ

Cotθ

Cosecθ

All Optimization Problems Quizzes

Top Trending Derivatives Quizzes

Calculus Quiz Questions And Answers

This Calculus Quiz is designed to challenge your grasp of key concepts, theories, and problem-solving techniques in differential and integral calculus. Each question is crafted to assess your analytical thinking and...

Questions: 15 | Attempts: 41788 | Last updated: Oct 5, 2025

Sample Question
What is the derivative of x² + 1 with respect to x?

2x

X

X+1

2x+1

Calculus Mathematics Quiz: Differentiation Problems

Are you an expert in Calculus Mathematics? Would you like to try this calculus mathematics quiz: differentiation problems? We have an amazing calculus mathematics quiz for you, in which you can solve the Differentiation problems....

Questions: 10 | Attempts: 10863 | Last updated: Oct 22, 2025

Sample Question
Differentiate y=2x4-4x+5

8x4-4x

8x3-4

24x3+4

8x4+4x

None of the above

Differentiation Practice Questions With Answers

Challenge your differentiation prowess with "Differentiation Practice Questions." This quiz offers an opportunity to gauge your competence in solving diverse differentiation problems. Whether you're a...

Questions: 10 | Attempts: 6837 | Last updated: Apr 22, 2025

Sample Question
Which method should we use for y=(x-2)3(x+1)?

Chain rule

Product Rule

Quotient Rule

Substitution method

Chapter 12 : Limits And Derivatives

This quiz titled 'Chapter 12: Limits and Derivatives' evaluates understanding of calculus concepts such as product rule, quotient rule, power rule, and the basics of derivatives and antiderivatives. It's designed to enhance...

Questions: 10 | Attempts: 209 | Last updated: Oct 22, 2025

Sample Question
1. Which of the following is the product rule for derivatives utilizing the original function h(x) = f(x)g(x) ?

H'(x)= f'(x)g'(x)

H'(x)=f'(x)g(x) - f(x)g'(x)

H'(x)=f'(x)g'(x) + f(x)g(x)

H'(x)=f'(x)g(x) + f(x)g'(x)

Applied Mathematics Quiz: Test!

Challenge your understanding of calculus with the Applied Mathematics Quiz: Test! This quiz assesses key concepts such as derivatives of functions and logarithms, enhancing skills in solving complex calculus problems relevant for...

Questions: 25 | Attempts: 1061 | Last updated: Mar 21, 2025

Sample Question
The differential of 9x⁻⁶ is:

9x⁻⁶

54x⁻⁶

-54x⁻⁷

-9x⁻⁵

Recent Derivatives Quizzes

Mastering Calculus: Derivatives, Approximations, and Theorems

Explore the fundamentals of calculus with this interactive guide. Focus on standard functions and daily applicable features, enhancing your understanding and skills in calculus theory. Perfect for students aiming to deepen their...

Questions: 8 | Attempts: 10 | Last updated: Aug 4, 2025

Sample Question
What is the definition of Derivative as a function?

The derivative at a point refers to the slope of the tangent line to the function at that point.

The derivative is the integral of the function over a specific interval.

See image

The derivative of a function provides the maximum value of the function.

Calculus and Trigonometry Basics Quiz

Dive into the essentials of calculus with this focused quiz on derivative formulas. Enhance your mathematical skills by mastering techniques to differentiate various functions, crucial for academic success in advanced mathematics...

Questions: 19 | Attempts: 11 | Last updated: Oct 17, 2025

Sample Question
What is the capital of France?

Rome

Berlin

-

Madrid

Calculus Constants: Kronecker Delta Quiz

Welcome to the Calculus Constants: Kronecker Delta Quiz! Test your knowledge of this fundamental concept in mathematics through a series of thought-provoking questions. The Kronecker Delta, often denoted as δ(i, j), is a...

Questions: 10 | Attempts: 94 | Last updated: Oct 22, 2025

Sample Question
What is the value of the Kronecker Delta when the indices are equal?

0

1

Infinity

Undefined

Application Of Derivatives: Math Quiz! Test

Application of Derivatives: Math Quiz! Test

This 'Application of Derivatives: Math Quiz' targets key calculus skills, focusing on derivative computation and its applications. It assesses understanding through problems on basic derivatives, higher-order derivatives, and...

Questions: 12 | Attempts: 258 | Last updated: Mar 22, 2025

Sample Question
Find the derivatives of followings: 1. y = -6x1/6 ; w.r.t. x, 2. y = - sin (x) cot (x) ; w.r.t. x, 3. P = 4t ; w.r.t. t, 4. F = te-t ; w.r.t. t,

-x5/6, sin (x), 4t log t, e-t (1 - t)

-x-5/6, sin (x), 4t log t, e-t (1 + t)

-x-5/6, sin (x), 4t log t, e-t (1 - t)

-x-5/6, - sin (x), 4t log t, e-t (1 - t)

The Ultimate AP Calculus Quiz!

Advanced Placement Calculus is a set of two distinct Advanced Placement calculus courses and exams offered by College Board. AP Calculus AB covers limits, derivatives, and integrals. AP Calculus BC covers all AP Calculus AB...

Questions: 10 | Attempts: 276 | Last updated: Mar 20, 2025

Sample Question
If a and b are integers such that 4a – 8 > 0 and 4b + 8 < 0, then which of the following must be true?

Ab is even

Ab is odd

Ab is negative

Ab is positive

Are You Ready For An AP Calculus Practice Exam?

Questions: 10 | Attempts: 558 | Last updated: Mar 19, 2025

Sample Question
If 4y+8 = 12y + 24, then y = ?

2

1

-1

-2

The Derivative Business Analyst Test

Derivative Business Analyst test is a test created to evaluate candidates in the areas of Derivatives, Trading Management, Equity Analysis, etc.

Questions: 10 | Attempts: 189 | Last updated: Oct 16, 2025

Sample Question
Derivatives are contracts between how many parties?

Two parties

Five parties

Four parties

Seven parties

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