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

Question

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

Accepted Answer

(a) $x=-3$ stationary point of inflexion, $x=0$ minimum (b)(i) $x<-3$ (b)(ii) $x<-2$ or $x\ge0$

Applications of Differentiation - Interpreting Gradients and Concavity

Applications of Differentiation - Interpreting Gradients and Concavity

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