Stationary points and increasing and decreasing functions

Stationary points and increasing and decreasing functions Quiz

Spec G3 · AQA A-Level Maths: Quiz

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  1. 1. Find the xx-coordinate of the stationary point of y=x2−6x+1y=x^2-6x+1.

    • A. −3-3
    • B. 33
    • C. 66
    • D. −6-6

  2. 2. y=−x2+4xy=-x^2+4x has a stationary point at x=2x=2. What is its nature?

    • A. Maximum
    • B. Minimum
    • C. Point of inflection
    • D. It is not stationary

  3. 3. For which values of xx is y=x3−3xy=x^3-3x increasing?

    • A. −1<x<1-1<x<1
    • B. x>1x>1
    • C. x<−1x<-1
    • D. x<−1x<-1 or x>1x>1

  4. 4. At a stationary point d2ydx2=6\frac{d^2y}{dx^2}=6. What is the point?

    • A. A maximum
    • B. A point of inflection
    • C. A minimum
    • D. Cannot be determined

  5. 5. At a certain point on a curve d2ydx2<0\frac{d^2y}{dx^2}<0. What does this tell you?

    • A. The gradient is decreasing
    • B. The gradient is negative
    • C. The curve is decreasing
    • D. The curve has a maximum

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