Question

let f(x)=2x^4-4x^2. find all c in the interval (-3, 3) such that f'(c)=0 please show all steps

Answer 1

all you do here is find the roots of the derivative of f(x) at c
i.e. solve \[f'(c)=8c^3-8c=0\]and disregard any answers that are outside of the interval (-3,3)