Question

Find the values of x that give local extrema for the function f(x) = x^3 – 3x

Answer 1

A function \[f(x)\]has local extrema inside the domain at those numbers, x, such that\[f'(x)=0\]Here,\[f'(x)=3x^2-3\]and upon setting to zero\[3x^2-3=0 \rightarrow x^2=1 \rightarrow x=\pm 1\]