Home
Class 12
MATHS
Let f:(-1,1)toR be a differentiable func...

Let `f:(-1,1)toR` be a differentiable function with `f(0)=-1` and `f'(0)=1`. Let `g(x)=[f(2f(x)+2)]^(2)`. Then `g'(0)=`

A

4

B

`-4`

C

0

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise MCQs (LEVEL-II)|35 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise Recent competitive Questions|10 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Recent competitive Questions|12 Videos

Similar Questions

Explore conceptually related problems

Let f be twice differentiable function such that f^('')(x) = -f(x) and f^(')(x) = g(x) . Also h(x) = [f(x)]^(2) + [g(x)]^(2). If h(4) = 7, then h(7) =

Let F : R to R be a differentiable function having : f(2) = 6, f'(2) = 1/48 Then lim_(x to 2) int_(6)^(f(x)) (4 t^3)/(x-2) dt equals :

Let f(x), g(x) be differentiable functions and f(1) = g(1) = 2, then : lim_(x rarr 1) (f(1) g(x) - f(x) g(1) - f(1) + g(1))/(g(x) - f(x)) equals :

Let f and g be differentiable functions such that ("fog")'=I . If g'(a)=2 and g(a)=b , then f'(b) equals :

If f (x) is a function such that f''(x)+f(x)=0 and g(x)=[f(x)]^(2)+[f'(x)]^(2) and g(3)=3 then g(8)=

Let g(x)=log(f(x)) , where f(x) is a twice differentiable positive function on (0,oo) , such that f(x+1)=xf(x) . Then for N=1,2,3, . . .. . . .. . . g'(N+1/2)-g''((1)/(2))=

The function f is differentiable with f(a)=8,f'(1)=(1)/(8) , If f is invertible and g=f^(-1) then :