The following table lists the values of functions $$g$$ and $$h$$, and of their derivatives, $$g^{\prime}$$ and $$h^{\prime}$$, for the $${x}$$-values $$0$$ and $$-3$$. ![](http://admin.getprephub.com/media/editor/d114_20221016183123743570.png) Let function $${F}$$ be defined as $${F}({x})=g(h(x))$$.Find $${F}^{\prime}(0)$$

$$F(x)=g(h(x))$$ $$F^{\prime}(x)=g^{\prime}(h(x)) h^{\prime}(x)$$ $$F^{\prime}(0) =g^{\prime}(h(0)) h^{\prime}(0) $$ $$=g^{\prime}(-3)\cdot3$$ $$=-7 \cdot 3 $$ $$=-21$$

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The following table lists the values of functions $g$ and $h$ , and of their derivatives, $g^{\prime}$ and $h^{\prime}$ , for the ${x}$ -values $0$ and $-3$ .

Let function ${F}$ be defined as ${F}({x})=g(h(x))$ .Find ${F}^{\prime}(0)$

$-21$

$21$

$11$

$-11$

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