Math / Calculus

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The derivative of the function $f$ is defined by $f^{\prime}(x)=x^{2}-2 x-5 \sin (2 x-2)$ for $-2<x<4$ . Find all intervals in the given domain where the function $f$ is increasing. You may use a calculator and round all values to 3 decimal places. Answer Attempt 2 out of 3

Studdy Solution
Verify the intervals by checking the sign of $f^{\prime}(x)$ around the critical points and within the domain $-2 < x < 4$ .
The intervals where $f$ is increasing are approximately:
$(a, b)$ and $(c, d)$
where $a, b, c,$ and $d$ are the critical points found using the calculator.

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