If f(1)=3, f'(1) = 2, f''(1)=4, then (...

If `f(1)=3, f'(1) = 2, f''(1)=4`, then `(f^-)''(3)=` (where `f^-1=`inverse of `y = f(x))`

A

1

B

`-(1)/(2)`

C

`-2`

D

None of these

Verified by Experts

The correct Answer is:

B

We know that `(d^(2)x)/(dy^(2))=((-d^(2)y)/(dx^(2)))/(((dy)/(dx))^(3))=(-4)/(8)=-(1)/(2)`

METHODS OF DIFFERENTIATION
CENGAGE|Exercise Multiple Correct Answer Type|7 Videos
MATRICES
CENGAGE|Exercise Multiple Correct Answer|7 Videos
METHODS OF DIFFERETIATION
CENGAGE|Exercise Question Bank|13 Videos

Similar Questions

Explore conceptually related problems

If f(1)=3,f^(prime)(1)=2,f''(1)=4,t h e n f^(-1)(3)= a. 1 b. -1/2 c. -2 d. none of these

IF f(x) = ( x+2)/(3x-1) , then f(f(x)) is

If f'(x)=3x^2 -4x+5" and "f(1)=3 , then find f(x) .

If f'(x) = 3x^2 - 4x + 5 and f(1) = 3 then find f(x).

If f(1)=1 and f'(1)=2 then lim_(xto1)((f(x))^(2)-1)/(x^(2)-1) is

If f(x) = x^2 find ( f (1.1 ) - f(1) )/( (1.1-1))

IF f(x) =2x^2 +bx +c and f(0) =3 and f (2) =1, then f(1) is equal to

If f (x/y)= f(x)/f(y) , AA y, f (y)!=0 and f' (1) = 2 , find f(x) .

f:[0,5]rarrR,y=f(x) such that f''(x)=f''(5-x)AAx in [0,5] f'(0)=1 and f'(5)=7 , then the value of int_(1)^(4)f'(x)dx is