Home
Class 12
MATHS
If g is the inverse of a function f and ...

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

A

`1+[g(x)]^5`

B

`-1/(2(1+x^2))`

C

`1/(2(1+x^2))`

D

`5x^4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|138 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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 inverse of function f and f'(x)=sinx , then g'(x) =

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

TARGET PUBLICATION-DIFFERENTIATION -EVALUATION TEST
  1. If 2x=y^(1/5)+y^(-1/5) then (x^2-1)(d^2y)/dx^2+xdy/dx=ky , then find t...

    Text Solution

    |

  2. if sqrt(x^2+y^2)=ae^(tan^-1 (y/x)) , a > 0, (y(0) > 0) then y"(0) equa...

    Text Solution

    |

  3. If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],...

    Text Solution

    |

  4. If y= cos ax and yn is n^(th) derivative of y, then |{:(y,y1,y2),(y3...

    Text Solution

    |

  5. If y = sin[cos^(-1){sin(cos^(-1) x)}], "then" (dy)/(dx)" at x" = (1)/...

    Text Solution

    |

  6. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  7. If the function f defined on R-{0} os a dIfferentiable function and f(...

    Text Solution

    |

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

    Text Solution

    |

  9. If y=f(x^3),z=g(x^5),f'(x)=tanx and g'(x)=sec x, then (dy)/(dz)=

    Text Solution

    |

  10. If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y...

    Text Solution

    |

  11. Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...

    Text Solution

    |

  12. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

    Text Solution

    |

  13. If f(x)=|{:(x,sinx,cosx),(x^2,tanx,x^3),(2x,sin2x,5x):}| then lim(x...

    Text Solution

    |

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

    Text Solution

    |

  15. If y=sinx[1/(sinxsin2x)+1/(sin2xsin3x)+...+1/(sinnx sin (n+1)x)]the...

    Text Solution

    |

  16. if y=e^(sin^2x+sin^4x+sin^6x+............oo) then find (dy)/(dx)

    Text Solution

    |

  17. If y=tan^(-1)1/(1+x+x^2)+tan^(-1)1/(x^2+3x+3)+tan^(-1)1/(x^2+5x+7)++ u...

    Text Solution

    |

  18. If y=a sin (bx+c), then yn=

    Text Solution

    |

  19. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

    Text Solution

    |

  20. If p=a^2cos^2theta+b^2 sin^2 theta, where a^2+b^2+c^2 ,then 4p+(d^2p)...

    Text Solution

    |