Introduction Of Derivatives Assessment Test

10 Questions | By Cripstwick | Updated: Mar 21, 2022 | Attempts: 143

Questions

Settings

Introduction Of Derivatives Assessment Test - Quiz

Take our intelligent assessment test to assess your knowledge of derivatives, which is a tool of calculus, the instantaneous rate of change of a function at a point in its domain.

Questions and Answers

1.

Find the derivative of (2+3x)(1-x) with respect to x.
- A.
  
  6x-1
- B.
  
  1-6x
- C.
  
  6
- D.
  
  -3
2.

Find the derivative of the function y=2x2(x-1) at the point x= -1.
- A.
  
  - 6
- B.
  
  14
- C.
  
  16
- D.
  
  18
3.

If y= ( 1+x)2, find dy/dx.
- A.
  
  X-1
- B.
  
  2+2x
- C.
  
  1+2x
- D.
  
  2x-1
4.

The derivative of (2x+1) (3x+1) is...
- A.
  
  12x+1
- B.
  
  6x+5
- C.
  
  6x+1
- D.
  
  12x+1
5.

Find the derivative of sinb/cosb.
- A.
  
  Sec2 b
- B.
  
  Tan b cosec b
- C.
  
  Cosec b sec b
- D.
  
  Cosec2 b
6.

What is the derivative of t2 sin (3t - 5) with respect to the variable t?
- A.
  
  2t sin (3t - 5) - 3t2 cos (3t - 5)
- B.
  
  6t cos (3t - 5)
- C.
  
  2t sin (3t - 5) + 3t2 cos (3t - 5)
- D.
  
  2t sin (3t - 5) + t2 cos 3t
7.

Find the derivatives with respect to x of the function √(2 – 3×2).
- A.
  
  -2×2 / √(2 – 3×2)
- B.
  
  -3x / √(2 – 3×2 )
- C.
  
  -2×2 / √(2 + 3×2)
- D.
  
  -3x / √(2 + 3×2)
8.

Given the function f(x) = x to the 3rd power – 6x + 2, find the value of the first derivative at x = 2, f’(2).
- A.
  
  6
- B.
  
  3×2 – 5
- C.
  
  7
- D.
  
  9
9.

Find the partial derivatives with respect to x of the function: xy2 – 5y + 6.
- A.
  
  Y2 – 5
- B.
  
  Xy – 5y
- C.
  
  Y2
- D.
  
  2xy
10.

The derivative of ln (cos x) is...
- A.
  
  Sec x
- B.
  
  –sec x
- C.
  
  –tan x
- D.
  
  Tan x