Implicit and parametric differentiation

Implicit and parametric differentiation Quiz

Spec 5.1 · Edexcel International A Level Maths: Quiz

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5 questions, one answer each

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  1. 1. What is ddx(y3)\frac{d}{dx}(y^3)?

    • A. 3y23y^2
    • B. 3y2dydx3y^2\frac{dy}{dx}
    • C. y3dydxy^3\frac{dy}{dx}
    • D. 3x2dydx3x^2\frac{dy}{dx}

  2. 2. A curve has x=3t2x=3t^2 and y=t3y=t^3. Find dydx\frac{dy}{dx}.

    • A. 2t\frac2t
    • B. 18t318t^3
    • C. 3t3t
    • D. t2\frac t2

  3. 3. Find the gradient of x2+y2=25x^2+y^2=25 at (3,4)(3,4).

    • A. −34-\frac34
    • B. 34\frac34
    • C. −43-\frac43
    • D. 43\frac43

  4. 4. The curve x2y=4x^2y=4 passes through (2,1)(2,1). Find the gradient of the normal there.

    • A. −1-1
    • B. 22
    • C. 11
    • D. −2-2

  5. 5. Where does a parametric curve have a vertical tangent?

    • A. dydt=0\frac{dy}{dt}=0 and dxdt≠0\frac{dx}{dt}\ne0
    • B. dxdt=0\frac{dx}{dt}=0 and dydt≠0\frac{dy}{dt}\ne0
    • C. dydx=0\frac{dy}{dx}=0
    • D. dxdt=dydt\frac{dx}{dt}=\frac{dy}{dt}

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