Question

F:R⁺—>R, f(x) =x¹/³(x+3)²/³,Determine intervals in which the given function are strictly increasing or strictly decreasing.

Answer 1

Dear student:

Given: F:R⁺—>R,

f(x) =x¹/³(x+3)²/³

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.