# Find the intervals

A) Find the intervals where g(x)=2x^3-96x^2+1440x-3676 is increasing and the intervals where it is decreasing.

B) Find the intervals where h(x)=-1/2x^4+3x^3+54x^2+9x-1 is concave up and concave down.

Help would be much appreciated.

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#### Solution Preview

A function increases in the interval where its first derivative is positive.

It decreases in the interval where its first derivative is negative.

For a decreasing function we see that for we get, using the definition of the derivative:

(1.1)

For increasing function:

(1.2)

In our ...

#### Solution Summary

The expert finds the intervals for increasing and decreasing values.

$2.19