Class 11 Mathematics · Chapter 13 · Test 2
Rules of Differentiation
36 MCQs Covers the constant, power, sum, product and quotient rules with the Ex 13.2 style of problems. Also includes the “prove that” relations for y = √x − 1/√x and y = x⁴ + 2x² + 2.
36 questions · 30 min · 36 marks
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Sample questions
The first 5 of 36. Try each one, then tap to see the answer.
Question 1
The derivative of a constant c is
- Ac
- B0
- C1
- Dx
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Answer: B
d/dx(c) = 0.
Question 2
By the power rule, d/dx(xⁿ) =
- Axⁿ⁻¹
- Bnxⁿ
- C(n−1)xⁿ
- Dnxⁿ⁻¹
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Answer: D
Multiply by the power and reduce the power by one.
Question 3
For a constant c, d/dx[c·f(x)] =
- Ac·f′(x)
- Bc + f′(x)
- Cf′(x)
- Dc·f(x)
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Answer: A
Constants factor out of derivatives.
Question 4
The sum rule states that d/dx[f(x) + g(x)] =
- Af′(x)·g′(x)
- Bf′(x)g(x) + f(x)g′(x)
- Cf′(x) + g′(x)
- Df(x) + g(x)
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Answer: C
Differentiate term by term.
Question 5
The product rule states that d/dx[f(x)g(x)] =
- Af′(x)g′(x)
- Bf′(x)g(x) + f(x)g′(x)
- Cf′(x)g(x) − f(x)g′(x)
- Df′(x) + g′(x)
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Answer: B
Derivative of the first × second + first × derivative of the second.
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