Write the derivative of f(x) = |x| 3 at x = 0.

Question

Philoid · Accepted Answer

Given that f(x) = |x|³ where

LHD at x =0,

RHD at x =0,

Also, f(0) = 0

⇒ LHD at (x = 0) = RHD (at x = 0) = f(0)

⇒ f’(0)= 0

Write the derivative of f(x) = |x|3 at x = 0.