Question

f(x) is odd differentiable function on $(-\infty ,\infty )$ such that f’(3) = 2, then f’(3) + f’(–3) is ___

Answer 1

f(x) is an odd $\therefore$ f(–x) = – f(x)
f’(-x) = f’(x) hence f’(–3) = f’(3) = 2 $\therefore$ f’(–3) + f’(3) = 4