Answer the following True or False:

If f(x)\displaystyle {f{{\left({x}\right)}}} is a differentiable function such that f(4)=0\displaystyle {f}'{\left(-{4}\right)}={0}, then f(x)\displaystyle {f{{\left({x}\right)}}} either has a relative minimum at x=4\displaystyle {x}=-{4} or a relative maximum at x=4\displaystyle {x}=-{4}.