Differentiating powers of x

Differentiating powers of x Quiz

Spec 4.2 · Edexcel International A Level Maths: Quiz

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  1. 1. Differentiate 4x4\sqrt{x}.

    • A. 2x122x^{\frac12}
    • B. 2x−122x^{-\frac12}
    • C. 4x−124x^{-\frac12}
    • D. 12x−12\frac12x^{-\frac12}

  2. 2. Differentiate 6x2\frac{6}{x^2}.

    • A. 12x−312x^{-3}
    • B. −12x−1-12x^{-1}
    • C. −6x−3-6x^{-3}
    • D. −12x−3-12x^{-3}

  3. 3. Find f′(x)f'(x) for f(x)=(x+3)(x−2)f(x)=(x+3)(x-2).

    • A. 2x+12x+1
    • B. 2x−62x-6
    • C. x2+x−6x^2+x-6
    • D. 11

  4. 4. Find the gradient of y=x2−3xy=x^2-\frac{3}{x} at x=1x=1.

    • A. −1-1
    • B. 11
    • C. 55
    • D. −5-5

  5. 5. Differentiate x3+xx2\frac{x^3+x}{x^2}.

    • A. 1+1x21+\frac{1}{x^2}
    • B. 1−1x21-\frac{1}{x^2}
    • C. 3x2+13x^2+1
    • D. 3x2+12x\frac{3x^2+1}{2x}

Quiz