let f(x)= x2|cos(/x)| ,if x≠0 f(x) = 0 , if x=0 THE f(x) IS A DIFFERENTIABLE AT x=0 AND - Maths - Continuity and Differentiability

Question

let f(x)= x2|cos(/x)| ,if x≠0

f(x) = 0 , if x=0
THE f(x) IS
A DIFFERENTIABLE AT x=0 AND x=2
B DIFFERENTIABLE AT x=0 BUT NOT AT x=2
C DIFFERENTIABLE AT x=2 BUT NOT AT x=0
D NOT DIFFERENTIABLE AT x=2 AND x=0

Brijendra P. · Accepted Answer

Your question is not clear as function f is not clear because of
missing term under cos So kindly repost your complete query

let f(x)= x2|cos(/x)| ,if x≠0 f(x) = 0 , if x=0 THE f(x) IS A.DIFFERENTIABLE AT x=0 AND x=2 B.DIFFERENTIABLE AT x=0 BUT NOT AT x=2. C.DIFFERENTIABLE AT x=2 BUT NOT AT x=0 D.NOT DIFFERENTIABLE AT x=2 AND x=0.

let f(x)= x²|cos(/x)| ,if x≠0

f(x) = 0 , if x=0

THE f(x) IS

A.DIFFERENTIABLE AT x=0 AND x=2

B.DIFFERENTIABLE AT x=0 BUT NOT AT x=2.

C.DIFFERENTIABLE AT x=2 BUT NOT AT x=0

D.NOT DIFFERENTIABLE AT x=2 AND x=0.