Home
Class 12
MATHS
For x"inR,f(x)=|log2-sinx|andg(x)=f(f(x)...

For `x"inR,f(x)=|log2-sinx|andg(x)=f(f(x)),` then

A

`g'(0) =-cos (log2)`

B

g is not differentiable at x = 0 `g'(0) =-sin (log2)`

C

g is not differentiable at x = 0

D

`g'(0) = cos (log)2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 7

    NTA MOCK TESTS|Exercise MATHEMATICS - Subjective Numerical|5 Videos

  • JEE MOCK TEST 6

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • JEE MOCK TEST 8

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

For x in R ,f(x)=|log2-sinx| and g(x)=f(f(x)) , then (1) g is not differentiable at x=0 (2) g'(0)=cos(log2) (3) g'(0)=-cos(log2) (4) g is differentiable at x=0 and g'(0)=-sin(log2)

If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x) , then the value of g'(1) is

If f(x)=log(1+x)andg(x)=e^(x) , then the value of (gof) (x) is :

If f(x)=sinx,g(x)=x^(2)andh(x)=logx. IF F(x)=h(f(g(x))), then F'(x) is

If f(x)=|x|andg(x)=x-2 , then gof is equal to:

Let f(x)=sinx,g(x)=x^(2) and h(x)=log_(e)x. If F(x)=("hog of ")(x)," then "F''(x) is equal to

If: f(x)=(x)/(x+1) andg(x)=(x)/(1-x), then: (f@g)(x)=