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Determine all intervals on which the graph of
f is increasing.

Determine all intervals on which the graph of $f$ is increasing.

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Full solution

Q. Determine all intervals on which the graph of

f

is increasing.

Find Derivative of $f(x)$ : To find where $f(x)$ is increasing, we need to look at the derivative $f'(x)$ and find where it is positive.
Solve $f'(x) > 0$ : Let's say we found the derivative $f'(x)$ . Now, we solve the inequality $f'(x) > 0$ to find the intervals of increase.
Identify Positive Intervals: After solving the inequality, we get the intervals where $f'(x)$ is positive. Let's say those intervals are $(a, b)$ and $(c, d)$ .

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