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, decreasing.

Accepted Answer

(a) $x=-\sqrt{k}$ maximum, $x=\sqrt{k}$ maximum (b)(i) $x1$ (b)(ii) $-\sqrt{k}\le x<1$ or $x\ge\sqrt{k}$

Applications of Differentiation - Interpreting Gradients and Concavity

Applications of Differentiation - Interpreting Gradients and Concavity

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