What is the rate of change for f(x)=-2cos4x-3 on the interval from x=0 to x=pi over 4

Step-by-step explanation:

The average rate of a function on interval to is:

.

and here for this problem where .

So we will need to evaluate for .

To find we will replace in with :

To find we will replace in with :

So now we need to compute the change in over the change in :

Dividing by is the same as multiplying by :

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^