The diagram below shows the curve $y=\mathrm{f}'(x)$. State the $x$-coordinates of the stationar

Question

The diagram below shows the curve $y=\mathrm{f}'(x)$. State the $x$-coordinates of the stationary points for the curve $y=\mathrm{f}(x)$. Hence determine the nature of these stationary points. State the maximal range of values of $x$ such that the curve $y=\mathrm{f}(x)$ is, concave downwards, strictly decreasing.

Accepted Answer

(a) $x=-3$ maximum, $x=3$ minimum (b)(i) $x<0$ (b)(ii) $-3<x<0$ or $0<x<3$

Applications of Differentiation - Interpreting Gradients and Concavity

Applications of Differentiation - Interpreting Gradients and Concavity

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