# f(x)= 2x^3+3x^2-36xDetermine whether the Mean Value Theorem can be applied to f on [-2,2]. If the mean value theorem can be applied, find all value(s) of c in the open interval (-2,2) that satisfies the theorem.

Question
Asked Nov 14, 2019
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f(x)= 2x^3+3x^2-36x

Determine whether the Mean Value Theorem can be applied to f on [-2,2]. If the mean value theorem can be applied, find all value(s) of c in the open interval (-2,2) that satisfies the theorem.

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## Expert Answer

Step 1

Given,

Step 2

Since f is a polynomial in x, so it is continuous in the interval [-2, 2] and differentiable in the interval (-2, 2).

Now

Step 3

Now by mean value theorem there ex...

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