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given-the-function-f-x-x-3-3x-2-24x-12-over-the-interval-8-lt-x-lt-4-answer-the-following-q-pa957

Given the function

`f(x)=x^(3)+3x^(2)-24x+12`

over the interval

`-8<=x<=4`

, answer the following questions. (a) Find

`f^(')(x)`

and

`f^('')(x)`

.

```
f^(')(x)=
f^('')(x)=
```

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(b) Find the critical points of

`f`

.

`q,`

`q,`

`x_(2)=`

`q,`

(c) Find any inflection points of

`f`

.

`x=`

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(d) Evaluate

`f`

at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of

`f`

in the interval.

```
f(x_(1))=
f(x_(2))=
f(-8)=
```

is

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is

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Sunset 8:38 PM is

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