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

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) $x=1$ and $x=5$: maximum points; $x=3$: minimum point (b)(i) $x4$ (ii) $x5$

Applications of Differentiation - Interpreting Gradients and Concavity

Applications of Differentiation - Interpreting Gradients and Concavity

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