Home
Class 12
MATHS
Let f(x) gt 0 for all x and f(x) exists ...

Let `f(x) gt 0` for all x and f(x) exists for all x. If f is the inverse function of h and `h'(x) = (1)/(1+log x)`. Then f'(x) will be

A

`1 + log(f(x))`

B

`1+f(x)`

C

`1-log (f(x))`

D

`log f(x)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

  • QUESTION PAPER 2021

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTION|75 Videos

Similar Questions

Explore conceptually related problems

Let f(x)gt0 for all x and f'(x) exists for all x. If f is the inverse function of h and h'(x)=(1)/(1+logx) . Then f'(x) will be

Find the inverse function of the function f(x) = 2^(x(x - 1)) (x gt 0) .

If f(x)= (1)/(x+1) - log (1+x), x gt 0 then f(x) is-

If f(x) = log_e ((1-x)/(1+x)) , then f' (0) is

Let agt1 be a real number and f(x)=log_(a)x^(2)" for "xgt 0. If f^(-1) is the inverse function of f and b and c are real numbers then f^(-1)(b+c) is equal to

Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), then g'(3) equals _

Let f:R to R be such that f(0)=0 and |f'(x)| le 5 for all x. Then f(1) is in

Let f : R to R be such that, f(2x-1)=f(x) for all x in R . If f is continuous at x = 1 and f(1)=1 then-

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

Let f:RrarrR be such that f(2x-1)=f(x) for all x in R . If f is continuous at x=1 and f(1)=1,Then

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
  1. The equation of the plane, which bisects the line joining the points (...

    Text Solution

    |

  2. The limit of the interior angle of a regular polygon of n sides as n r...

    Text Solution

    |

  3. Let f(x) gt 0 for all x and f(x) exists for all x. If f is the inverse...

    Text Solution

    |

  4. Consider the function f(x) = cos x^(2). Then

    Text Solution

    |

  5. lim(x rarr 0) (e^(x) + x)^(1//x)

    Text Solution

    |

  6. Let f(x) be a derivable function , f'(x) gt f(x) and f(0) = 0. Then

    Text Solution

    |

  7. Let f:[1, 3] rarr RR be a continuous function that if differentiable ...

    Text Solution

    |

  8. lim(x rarr 0)(x^(n) ln x), n gt 0

    Text Solution

    |

  9. If int cos x log (tan""(x)/(2))dx = sin x log (tan""(x)/(2)) + f(x) th...

    Text Solution

    |

  10. y = int cos {2 tan^(-1)sqrt((1-x)/(1+x))}dx is an equation of a family...

    Text Solution

    |

  11. The value of the integration int(-pi//4)^(pi//4)(lambda| sin x| + (mu ...

    Text Solution

    |

  12. The value of lim(x rarr 0)(1)/(x)[int(y)^(a) e^(sin^(2)t)dt - int(x+y)...

    Text Solution

    |

  13. If int 2^(2^(x)).2^(x) dx = A.2^(2^(x)) + c, then A =

    Text Solution

    |

  14. The value of the integral int(-1)^(1){(x^(2015))/(e^(|x|)(x^(2) + cos ...

    Text Solution

    |

  15. lim(n rarr oo)(3)/(n){1+sqrt((n)/(n+3)) + sqrt((n)/(n+6)) + sqrt((n)/(...

    Text Solution

    |

  16. The general solution of the differential equation (1+e^((x)/(y)))dx + ...

    Text Solution

    |

  17. General solution of (x+y)^(2)(dy)/(dx) = a^(2), a ne 0 is (c is an arb...

    Text Solution

    |

  18. Let P (4, 3) be a point on the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^...

    Text Solution

    |

  19. If the radius of a spherical balloon increases by 0.1%, then its volum...

    Text Solution

    |

  20. The three sides of a right-angled triangle are in G.P (geometric progr...

    Text Solution

    |