Show that f(x) = |x| is not differentiable at x = 0.
Answers
Answered by
1
Answer:
hdhfhfh
Step-by-step explanation:
hdbdhhdhdxhjcjfhfhf
Answered by
4
Answer:
For differentiability at x=0
Left hand derivative
f′(0−0)=h→0lim−hf(0−h)−f(0)
=h→0lim−h∣0−h∣−∣0∣
=h→0lim−h∣−h∣−0
=h→0lim−hh
=h→0lim(−1)=−1
Right hand derivative
f′(0+0)=h→0lim−hf(0+h)−f(0)
=h→0limh∣0+h∣−∣0∣
=h→0limh∣h∣−0
=h→0limhh
=
Similar questions