Wrong section, I'm not that good at math xP

Prove that f is not differentiable at x=0 by showing that f' (0)=lim(x→0)⁡〖(f(x)-f(0))/(x-0)〗does not exist?

Moe @Moe

May 2021 2 139 Report

Prove that f is not differentiable at x=0 by showing that f' (0)=lim(x→0)⁡〖(f(x)-f(0))/(x-0)〗does not exist?

f(x)={(-3x+1,x<0

2x+1,x≥0)

Prove that f is not differentiable at x=0 by showing that f' (0)=lim(x→0)⁡〖(f(x)-f(0))/(x-0)〗 does not exist

Science & Mathematics / Botany

martins

the least confusing thank you to instruct (interior of sight) existence is to apply the implicit function theorem (which, subsequently is surprisingly much comparable to the inverse function theorem); enable: F(x,y) = y^5 + y + x As ?F/?y = 5y^4 + a million is nowhere 0, then, for each a, there's a community V(a) of this factor and a continuosly differentiable (with the aid of fact F is a polynomial) function f(x):V(a) ? R, such that F(x,f(x)) = 0 in V(a), and that's your unique equation. word that the function f is unique, and this inclusive of ?F/?y ? 0 ? x,y implies, in turn, that f(x) exist globally.