Home
Class 12
MATHS
For x in R, f(x) = | log 2- sin x| and g...

For `x in R, f(x) = | log 2- sin x| and g(x) = f(f(x))`, then

A

g is not differentiable at x =0

B

g'(0) = cos log 2

C

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

D

g is differentiable at x =0 and g'(0) =-sin (log 2)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|12 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 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 g(f(x))=|sin x| and f(g(x))=(sin(sqrt(x)))^(2) then

Let f : R ^(+) to R defined as f (x)= e ^(x) + ln x and g = f ^(-1) then correct statement (s) is/are:

If f:R rarr R,g:R rarr R defined as f(x)=sin x and g(x)=x^(2), then find the value of (gof)(x) and (fog)(x) and also prove that gof f= fog.

f (x) = ln (sin x) ^ (2) then f ((pi) / (4)) =

If f : R to R, g : R to R and h: R to R is such that f (x) =x ^(2) , g (x) = tan x and h (x) = log x, then the value of [ho(gof),if x = (sqrtpi)/(2) will be

If f:R rarr R and g:R rarr R is given by f(x)=|x| and g(x)=[x] for each x in R then {x in R:g(f(x))<=f(g(x))}