Question

f:R—>R, f(x)=(x+1)³(x-3)³,Determine the intervals in which F is increasing and the intervals in which F is decresing.

Answer 1

Dear student:

Given:F:R—>R

f(x)= (x+1)³(x-3)³

For determining the intervals in which F is increasing and decreasing.

Find derivative of f(x)

then see the derivative in which f is positive and negative.

If it is positive then f is increasing

And if it is negative then f is decreasing.

See the attachment.