Home
Class 12
MATHS
Let f(x) be continous on [0,6] and diffe...

Let f(x) be continous on [0,6] and differentable on (0,6) Let f(0)=12 and f(6)=-4. If g(x) `=f(x)/(x+1)` then for some Lagrange's constant c`in` (0,6),g'( c)=

A

(A)`-44/3`

B

(B)`-22/21`

C

(C)`32/21`

D

(D)`-44/21`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If f'(x)=x^2+5 and f(0)=-1 then f(x)=

If f : [0,oo)to [0,oo) and f(x) =(x)/(1+x), then f is

If f (x)=x ^(2) , g (x) =5x -6, then f [g (x)]=

Let f (x) and g (x) be differentiable for 0 < x < 1 such f(0)= 0 , g (0) =0, f(1)=6. Let there exist a real number c in (0, 1) such that f’ (c) =2g’ (c), then the value of g (1) must be A) 1 B) 3 C) 2.5 D) -1

If f (x) = ax + 6 and f (1) =11, then a =