Assume $f$ is a function that is differentiable around $x=0$ and that:
$$\ |f(\frac{x}{5})| \leq \frac{1}{8}|f(x)|$$
Show that $f'(0) = 0$
Unsure how prove this?
Assume $f$ is a function that is differentiable around $x=0$ and that:
$$\ |f(\frac{x}{5})| \leq \frac{1}{8}|f(x)|$$
Show that $f'(0) = 0$
Unsure how prove this?