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Asked Feb 15, 2020
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Use the product rule to find the derivative of a function in the form f(x]g(x)
Question
Let h(x) = f(x)g(x). If f(x) = x² +4x
g'(-2) = -5, what is h' (-2)?
1, g(-2) = 3, and
Do not include "h' (-2) =" in your answer. For example, if you found
h'(-2) = 7, you would enter 7
21
Provide your answer below:
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Use the product rule to find the derivative of a function in the form f(x]g(x) Question Let h(x) = f(x)g(x). If f(x) = x² +4x g'(-2) = -5, what is h' (-2)? 1, g(-2) = 3, and Do not include "h' (-2) =" in your answer. For example, if you found h'(-2) = 7, you would enter 7 21 Provide your answer below:

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Step 1

First of all, consider the formula for the product rule to calculate the derivative of the function in the form of f(x)g(x).

Substitute the value of the x = -2 in the derivative of h(x).

Calculus homework question answer, step 1, image 1

Step 2

Then, substitute the value of x = -2 in the f (x) and calculate f (-2).

Now, differentiate f (x) w.r.t x and find the derivative of f (x).

Again, Substitute the value of x = -2 in the derivative of f (x) and calculate the value of the derivative at x = -2.

Calculus homework question answer, step 2, image 1

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Math

Calculus