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Let f(x) be a continuous function f...

Let f(x) be a continuous function for all `x in R and f'(0) =1` then `g(x) = f(|x|)= f(|X|)-sqrt((1-cos 2x)/(2)), at x=0,`

A

is differentiable at x=0 and its value is 1

B

is disfferentiable at x=0 and its value is 0

C

is non-differentaible at x=0 as its graph has sharp turn at x=o

D

is non - differentiable at x=0 as its graph has veritical tanent at x=0

Text Solution

Verified by Experts

The correct Answer is:
B
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