Question
Suppose that $ f(5) = 1, f' (5) = 6, g(5) = -3, $ and $ g'(5) = 2. $ Find the following values.(a) $ (fg)' (5) $ (b) $ (f/g)' (5) $ (c) $ (g/f)' (5) $
Step 1
$ We need to find the derivative of the functions $fg$, $f/g$, and $g/f$ at $x=5$. Show more…
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Key Concepts
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Suppose that $f(5)=1, f^{\prime}(5)=6, g(5)=-3,$ and $g^{\prime}(5)=2 .$ Find the following values. $\begin{array}{ll}{\text { (a) }(f g)^{\prime}(5)} & {\text { (b) }(f / g)^{\prime}(5)} & {\text { (c) }(g / f)^{\prime}(5)}\end{array}$
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Suppose that $f(5)=1, f^{\prime}(5)=6, g(5)=-3,$ and $g^{\prime}(5)=2.$ Find the following values. (a) $(f g)^{\prime}(5)$ (b) $(f / g)^{\prime}(5)$ (c) $(g / f)^{\prime}(5)$
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Suppose that $f(5)=1, f^{\prime}(5)=6, g(5)=-3,$ and $g^{\prime}(5)=2$ Find the following values. $${ (a) }(\mathrm{ff} g)^{\prime}(5) \quad \text { (b) }(\mathrm{f} / g)^{\prime}(5)$$ $$(\mathrm{c})(g / \mathrm{f})^{\prime}(5)$$
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