Home
Class 12
MATHS
If the function f(x)=x^(3)+e^(x//2)andg...

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -I|6 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

Similar Questions

Explore conceptually related problems

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

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

Q.if the function f(x)=x^(3)+(e^(x))/(2) and g(x)=f^(-1)(x), then find the value of g'(1)

If the functions f(x)=x^(5)+e^(x//3) " and " g(x)=f^(-1)(x) , the value of g'(1) is ………… .

If the function f(x)=2-e^(-x) and g(x)=f^(-1)(x) , then the value of g"(1) is equal to -1 (b) 0 (c) 1 (d) 1/2

If the function f(x) = 2+x^2-e^x and g(x) = f^(-1)(x) , then the value of |g^'(1)|/4 equals

If the function f(x)=4x^(5)+3x^(3)+2x^(2)+e^(x/7) and g(x)=f^(-1)(x) then the value of g'(1) is

If the function f(x)=4x^(5)+3x^(3)+2x^(2)+e^(x/7) and g(x)=f^(-1)(x) then the value of g'(1) is