Home
Class 12
MATHS
Let g be the inverse function of f and f...

Let `g` be the inverse function of `f and f'(x)=(x^(10))/(1+x^(2)).` If `g(2)=a` then `g'(2)` is equal to

A

`(5)/(2^(10))`

B

`(1+a^(2))/(a^(10))`

C

`(a^(10))/(1+a^(2))`

D

`(1+a^(10))/(a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If g is the inverse function of f an f'(x)=(x^(5))/(1+x^(4)). If g(2)=a, then f'(2) is equal to

If g(x) is the inverse function of f(x) and f'(x)=(1)/(1+x^(4)) , then g'(x) is

Let g(x) be the inverse of the function f(x) and f'(x)=(1)/(1+x^(3)) then g'(x) equals

If g is the inverse of f and f'(x) = (1)/(1 + x^(2)) , then g'(x) is equal to

If g is the inverse of a function f and f'(x)=(1)/(1+x^(n)), g'(x) is equal to

Let g(x) be the inverse of the function f(x) ,and f'(x) 1/(1+ x^(3)) then g(x) equals

If g is the inverse of a function f and f'(x) = 1/(1+x^(5)) , then g'(x) is equal to

If g is the inverse of f and f'(x)=(1)/(2+x^(n)) , then g'(x) is equal to

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. If x^2e^y+2xye^x+13=0 then (dy)/(dx)=

    Text Solution

    |

  2. If x=e^(y+e^(y^(+..."to"00))),xgt0,"then"(dy)/(dx)

    Text Solution

    |

  3. Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(...

    Text Solution

    |

  4. If f and g are the function whose graphs are as shown, let u(x)=f(g(x)...

    Text Solution

    |

  5. f'(x) = g(x) and g'(x) =-f(x) for all real x and f(5)=2=f'(5) then f^2...

    Text Solution

    |

  6. if f(x) = x +x^2/1! + x^3/3! +---+ x^n/n! then f(0) + f'(0) + f''(0) ...

    Text Solution

    |

  7. If y=(f(0)f(0)f)(x)andf(0)=0,f'(0)=2 then y'(0) is equal to

    Text Solution

    |

  8. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

    Text Solution

    |

  9. If y=f(x)andx=g(y) are inverse functions of each other, then

    Text Solution

    |

  10. If y is a function of x then (d^2y)/(dx^2)+y \ dy/dx=0. If x is a func...

    Text Solution

    |

  11. Leg g(x)=ln(f(x)), whre f(x) is a twice differentiable positive functi...

    Text Solution

    |

  12. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

    Text Solution

    |

  13. If f(theta) = sin(tan^(-1)(sintheta/sqrt(cos2theta))), where -pi/4 lt ...

    Text Solution

    |

  14. If y=log(sinx)(tanx), then (dy)/ (dx) at x=(1)/(4) is equal to

    Text Solution

    |

  15. If y=sum(r=1)^(x) tan^(-1)((1)/(1+r+r^(2))), then (dy)/(dx) is equal t...

    Text Solution

    |

  16. If y=(sin^(-1)(sinalphasinx)/(1-cosalphasinx)), then y'(0) is equal to

    Text Solution

    |

  17. If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals

    Text Solution

    |

  18. The function f(x)=e^x+x , being differentiable and one-to-one, has a d...

    Text Solution

    |

  19. If f^(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 an...

    Text Solution

    |

  20. If x=sectheta-costhetaandy=sec^(n)theta-cos^(n)theta, then (x^(2)+4 )(...

    Text Solution

    |