# Let k(x)=f(x)g(x)/h(x). If f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is k′(−2)?Do not include "k′(−2)=" in your answer. For example, if you found k′(−2)=20, you would enter 20.

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Let k(x)=f(x)g(x)/h(x). If f(2)=5,f(2)=9,g(2)=7,g(2)=8,h(2)=3, and h(2)=10 what is k(2)?

Do not include "k(2)=" in your answer. For example, if you found k(2)=20, you would enter 20.

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Step 1

We are given the information that f(2)=5f(2)=9g(2)=7g(2)=8h(2)=3, and h(2)=10

Also k(x) = f(x)g(x) / h(x)   and we need to find k\'(-2)

Step 2

According to question we need to find the derivative  k\'(x)

For that we have to use the quotient rule and product rule as shown below:

Step 3

To differentitate the given composite function k(x) = f(x)g(x)/h(...

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### Calculus 