$f$ $f$ is some diﬀerentiable function. $f'$ , the derivative of $f$ is shown below [note, is not the graph of f itself]. Use the graph to answer the following questions [For parts (a)-(c), select all that apply]? (See image below)

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Answer 1 · 2017-03-11T02:03:08

See below.

$f$ is increasing where $f'$ is positive. That is, where the graph of $f'$ is above the $x$ axis.

$f$ is decreasing where $f'$ is negative. That is, where the graph of $f'$ is below the $x$ axis.

The critical values are the $x$ intercepts.

Without knowing the function, we cannot find the minima and maxima (or minimums and maximums, if you insist).

But we CAN find the $x$ values where minima occur.

$f$ has a minimum where $f'$ changes from negative to positive. (In this example at $x=-4$ and at $x=1$ .)

$f$ has a maximum where $f'$ changes from positive to negative. (In this example at $x=3$ .)

fff is some diﬀerentiable function. f'f', the derivative of ff is shown below [note, is not the graph of f itself]. Use the graph to answer the following questions [For parts (a)-(c), select all that apply]? (See image below)