Differentiating powers of x and stationary points

Differentiating powers of x and stationary points Quiz

Spec 7.2–3 · Edexcel A-Level Maths: Quiz

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  1. 1. Differentiate y=x−2y=x^{-2}.

    • A. −2x−3-2x^{-3}
    • B. −2x−1-2x^{-1}
    • C. 2x−32x^{-3}
    • D. −x−3-x^{-3}

  2. 2. Differentiate y=4xy=4\sqrt{x} with respect to xx.

    • A. 2x1/22x^{1/2}
    • B. 4x−1/24x^{-1/2}
    • C. 2x−1/22x^{-1/2}
    • D. 12x−1/2\frac12x^{-1/2}

  3. 3. Find the equation of the tangent to y=x2+2xy=x^{2}+2x at the point (1,3)(1,3).

    • A. y=2x+1y=2x+1
    • B. y=4x+3y=4x+3
    • C. y=4x−1y=4x-1
    • D. y=−14x+134y=-\frac14x+\frac{13}{4}

  4. 4. The tangent to a curve at a point has gradient 44. What is the gradient of the normal there?

    • A. 44
    • B. −4-4
    • C. 14\frac14
    • D. −14-\frac14

  5. 5. For y=x3−3xy=x^{3}-3x, what is the nature of the stationary point at x=1x=1?

    • A. A maximum
    • B. A minimum
    • C. A point where yy is increasing
    • D. It is not a stationary point

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