Differentiation Basic Rules Quiz
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Differentiate y=3x4-5x
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3x3-5
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12x3-5
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12x3+5
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12x2
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Check out our online quiz and test your understanding of Differentiation concepts, rules, and solve some simple questions for us.
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- 2.
Is differentiation of y=6x3-1 is 18x3 true or false?
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True
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False
Correct Answer
A. FalseExplanation
The differentiation of y=6x^3-1 is not equal to 18x^3. When we differentiate y=6x^3-1, the power rule states that the derivative of x^n is nx^(n-1). Therefore, the derivative of 6x^3 is 18x^2, not 18x^3.Rate this question:
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- 3.
Differentiate y=5/x2
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5x2
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-5x-3
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-10x-3
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10x-3
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Option 5
Correct Answer
A. -10x-3Explanation
The given expression is y = 5/x^2. To differentiate this expression, we use the power rule of differentiation. The power rule states that when differentiating a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1). Applying this rule, we differentiate y = 5/x^2 as follows:
y' = (5)(-2)x^(-2-1) = -10x^(-3) = -10/x^3. Therefore, the correct answer is -10x-3.Rate this question:
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- 4.
Differentiate y= -3x-5-10x+2
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3x5-10x
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-3x-6+10
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15x-6-10
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15x-5-10
Correct Answer
A. 15x-6-10Explanation
The given expression is a polynomial with two terms. To differentiate it, we can use the power rule, which states that the derivative of x^n is n*x^(n-1). Applying this rule to the first term, -3x, we get -3. For the second term, -10x, the derivative is -10. Therefore, the derivative of the given expression is 15x - 3 - 10, which simplifies to 15x - 6 - 10.Rate this question:
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- 5.
Differentiate y=3x-4+6x-1
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12x-1
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-4x-5+6x-1
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12x-5+6
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-12x-5+6
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Option 5
Correct Answer
A. -12x-5+6Explanation
The given expression is y=3x-4+6x-1. We can simplify this expression by combining like terms. Combining 3x and 6x, we get 9x. Combining -4 and -1, we get -5. Therefore, the simplified expression is 9x - 5. The answer -12x-5+6 does not match the simplified expression, so it is not the correct answer.Rate this question:
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- 6.
Differentiate y=5-13x2-4x3
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26x-12x
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-26x-12x2
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-13x2-12x
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26x2-12
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Option 5
Correct Answer
A. -26x-12x2Explanation
The given expression is y=5-13x^2-4x^3. To differentiate this expression, we take the derivative of each term. The derivative of 5 is 0, the derivative of -13x^2 is -26x, and the derivative of -4x^3 is -12x^2. Therefore, the differentiated expression is -26x-12x^2.Rate this question:
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- 7.
Is differentiation of y=5x-2-12 is -10x-3 true or false?
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True
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False
Correct Answer
A. TrueExplanation
The given expression y=5x-2-12 can be simplified as y=5x-14. Therefore, the correct answer -10x-3 is false.Rate this question:
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- 8.
Differentiate y=4/x4
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4x-5
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4x5
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16x-5
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-16x-5
Correct Answer
A. -16x-5Explanation
The given expression is y = 4/x^4 - 4x - 5. To differentiate this expression, we can use the power rule for differentiation. The derivative of 4/x^4 is -16/x^5, the derivative of -4x is -4, and the derivative of -5 is 0. Combining these derivatives, we get -16/x^5 - 4. Simplifying further, we can rewrite this as -16x^-5 - 4, which is equivalent to -16/x^5 - 4. Therefore, the correct answer is -16x - 5.Rate this question:
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Jan 23, 2025Quiz Edited by
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Mar 26, 2021Quiz Created by
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