Prove that if f:R→R is differentiable at each point and x→−∞limf(x)=x→+∞limf(x)=0 there exists a∈R such that f′(a)=0.
Posted: Wed Jul 13, 2022 5:06 am
Prove that if f:R→R is differentiable at each point and x→−∞limf(x)=x→+∞limf(x)=0 there exists a∈R such that f′(a)=0.