Question

Find the derivative of

h(x)=(3x+4)^{3}/ (−3x−2) ^{4}

You should leave your answer in factored form. Do not include "h′(x)=" in your answer.

Provide your answer below:

Step 1

The given function is *h*(*x*) = (3*x*+4)^{3}/(−3*x *− 2)^{4}.

Rewrite the given function as *h*(*x*) = (3*x*+4)^{3}/(3*x *+ 2)^{4}.

Step 2

Differentiate the function *h*(*x*) = (3*x*+4)^{3}/(3*x *+ 2)^{4} with respect to *x*.

Step 3

On further simpli...

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