Lesson 1.07i

1.07i Differentiation of standard functions Quiz: OCR Maths, Unit 7

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.07i, Differentiation of standard functions: 20 multiple choice questions for the OCR Maths (H240), Unit 7: Differentiation, written with Revision Ninja.

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The 20 questions

  1. What is the derivative of x^n?

    • n x^(n + 1)
    • x^(n - 1)
    • x^(n + 1)/(n + 1)
    • n x^(n - 1)

  2. What is the derivative of e^(kx)?

    • k e^x
    • k e^(kx)
    • e^(kx)/k
    • e^(kx)

  3. What is the derivative of ln x?

    • 1/x
    • e^x
    • x
    • ln x / x

  4. What is the derivative of sin kx?

    • cos kx
    • -k cos kx
    • k cos kx
    • k sin kx

  5. What is the derivative of cos kx?

    • -k cos kx
    • -k sin kx
    • -sin kx
    • k sin kx

  6. What is the derivative of a^x for a > 0?

    • a^x / ln a
    • ln a
    • a^x ln a
    • x a^(x - 1)

  7. What is the derivative of tan kx?

    • k cot(kx)
    • sec^2(kx)
    • k tan^2(kx)
    • k sec^2(kx)

  8. What is the derivative of x^(-2)?

    • -2 x^(-1)
    • 2 x^(-3)
    • x^(-3)
    • -2 x^(-3)

  9. What is the derivative of sqrt(x) with respect to x?

    • 1 / sqrt(x)
    • 2 / sqrt(x)
    • 1 / (x sqrt(x))
    • 1 / (2 sqrt(x))

  10. What is the derivative of 3e^(2x)?

    • 6 e^(2x)
    • 6 e^x
    • 3 e^(2x)
    • 2 e^(2x)

  11. What is the derivative of 4x^3 - 5 sin 2x?

    • 12x^2 - 10 cos 2x
    • 4x^2 - 10 cos 2x
    • 12x^2 - 5 cos 2x
    • 12x^2 + 10 cos 2x

  12. For f(x) = e^(3x) + 2 cos x, what is f'(0)?

    • 1
    • 3
    • 5
    • 0

  13. What is the gradient of the curve y = 2^x at the point where x = 0?

    • 0
    • ln 2
    • 2
    • 1

  14. What is the gradient of y = ln x at x = e?

    • 1/e
    • 1
    • 1/e^2
    • e

  15. What is the derivative of 5x^(1/3)?

    • (5/3) x^(-2/3)
    • (5/3) x^(1/3)
    • 5 x^(-2/3)
    • (1/3) x^(-2/3)

  16. What is the derivative of f(x) = x^2 + 2^(3x)?

    • 2x + 3 x 2^(3x)
    • x^2 + 3 ln 2 x 2^(3x)
    • 2x + 3 ln 2 x 2^x
    • 2x + 3 ln 2 x 2^(3x)

  17. What is the second derivative of sin 3x?

    • -9 cos 3x
    • 9 cos 3x
    • -3 sin 3x
    • -9 sin 3x

  18. For f(x) = cos x + ln x, what is f'(1)?

    • 1 - sin 1
    • 1 + sin 1
    • -1 - sin 1
    • sin 1 - 1

  19. What is the derivative of e^(-x)?

    • -e^x
    • -e^(-x)
    • -x e^(-x - 1)
    • e^(-x)

  20. What is the derivative of x^(-1)?

    • -1/x
    • 1/x
    • 1/x^2
    • -1/x^2

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