Calculus
posted by Rudy .
1. Find all relative extrema of the function f(x)=x^(6/7)3. Use the Second Derivative Test where applicable.
2. Find all relative extrema of the function f(x)=2x^416x^3+4. Use the Second Derivative Test where applicable.

as you know,
extrema where f'=0 and f''≠0
1.
f' = 6/7 x^(1/7) is never zero
2.
f' = 24x^2  96x = 24x(x4)
f'' = 48x
should be easy now to locate extrema