Posted by Rudy on .
1. For the function f(x)=4x^330x^2+4:
a) Find the critical numbers of f(if any);
b) Find the open intervals where the function is increasing or decreasing; and
c) Apply the First Derivative Test to identify all relative extrema
2. For the function f(x)=(x1)^(8/11)
a) Find the critical numbers of f(if any);
b) Find the open intervals where the function is increasing or decreasing; and
c) Apply the First Derivative Test to identify all relative extrema

Calculus 
Steve,
f' = 12x^2  60x = 12x(x5)
as you know
extrema where f'=0
increasing where f' > 0