The following table lists the values of functions $$f$$ and $$h$$, and of their derivatives, $$f^{\prime}$$ and $$h^{\prime}$$, for the $${x}$$-values $$-2$$ and $$4$$ . ![](http://admin.getprephub.com/media/editor/d112_20221016182953436676.png) Let function $${H}$$ be defined as $${H}({x})=f(h(x))$$. Find $$H^{/}(4)$$

$$H(x)=f(h(x))$$ $$H^{\prime}(x)=f^{\prime}(h(x)) \cdot h^{\prime}(x)$$ $$\therefore H^{\prime}(4)=f^{\prime}(h(4)) \quad h^{\prime}(4)$$ From the table, $$H^{\prime}(4)=f^{\prime}(-2) \cdot(1)=28 \times 1=28$$

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The following table lists the values of functions $f$ and $h$ , and of their derivatives, $f^{\prime}$ and $h^{\prime}$ , for the ${x}$ -values $-2$ and $4$ .

Let function ${H}$ be defined as ${H}({x})=f(h(x))$ . Find $H^{/}(4)$

$28$

$24$

$20$

$12$

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