Home
Class 12
MATHS
If g is the inverse function of fa n df^...

If `g` is the inverse function of `fa n df^(prime)(x)=sinx ,t h e ng^(prime)(x)` is `cos e c{g(x)}` (b) `"sin"{g(x)}` `-1/("sin"{g(x)})` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • Maxima and Minima

    A DAS GUPTA|Exercise EXERCISE|59 Videos

  • Objective Tests

    A DAS GUPTA|Exercise Exercise|36 Videos

Similar Questions

Explore conceptually related problems

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

If g is the inverse function of fandf'(x)=sin x, theng '(x) is (a) cos ec{g(x)}(b)sin{g(x)}(c)-(1)/(sin{g(x)}) (d) none of these

If g is the inverse function of and f'(x) = sin x then prove that g'(x) = cosec (g(x))

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

Let g is the inverse function of fa n df^(prime)(x)=(x^(10))/((1+x^2)) . If g(2)=a , then g^(prime)(2) is equal to a/(2^(10)) (b) (1+a^2)/(a^(10)) (a^(10))/(1+a^2) (d) (1+a^(10))/(a^2)

If f(x)=|x-2|a n dg(x)=f[f(x)],t h e ng^(prime)(x)= ______ for x>20

g(x) is inverse function of f(x). find f'(x) or f'(1) if g(x)=x^(^^)3+e^(^^)(x/2)

g(x) is the inverse of function f(x), find (d^(2)f)/(dx^(2))(1),g(x)=x^(3)+e^((x)/(2))

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

A DAS GUPTA-Miscellaneous Exercises-Exercise

  1. Text Solution

    |

  2. If usin t + vcos t = 5 and ucos t - vsin t = 7 then (ddotu)(dotv) - ...

    Text Solution

    |

  3. If g is the inverse function of fa n df^(prime)(x)=sinx ,t h e ng^(pri...

    Text Solution

    |

  4. Let f(x)=x+1 and phi(x)=x-2. Then the value of x satisfying |f(x)+phi(...

    Text Solution

    |

  5. One diagonal of a square is the portion of the line 7x + 5y= 35 interc...

    Text Solution

    |

  6. Let f(x) = 2sin^(2)beta + 4cos(x + beta)* sin x* sin beta + cos 2(x + ...

    Text Solution

    |

  7. A positive integral power of the imaginary quantity i is taken at ran...

    Text Solution

    |

  8. If z is a complex number such that zbarz = 1 and amp frac{z}{bar z}= ...

    Text Solution

    |

  9. If 4 sin^(-1)x + cos^(-1)x=pi, then: x=

    Text Solution

    |

  10. The solution set of f'(x)>g'(x) where f(x)=(1/2)5^(2x+1) and g(x)=5^x+...

    Text Solution

    |

  11. lim(n to ∞) frac{a^n}{n!} is equal to .

    Text Solution

    |

  12. The differential coefficient of 2^x w.r.t. x^2 is.

    Text Solution

    |

  13. A natural number less than or equal to 200 is written down at random....

    Text Solution

    |

  14. A box contains 100 tickets numbered 1, 2, 3, ... ,100. Two tickets ar...

    Text Solution

    |

  15. Prove that two parabolas having the same focus and their axes in oppos...

    Text Solution

    |

  16. If a, b, c and d are positive real numbers such that a+b+c+d= 1 then p...

    Text Solution

    |

  17. A vertical lamp-post of height h stands at a point on the boundary of...

    Text Solution

    |

  18. Find the equations of straight lines which pass through the intersecti...

    Text Solution

    |

  19. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

    Text Solution

    |

  20. Solve - frac{sin^(3) frac{x}{2} -cos^(3) frac{x}{2}}{2 +sinx} = cosx/3

    Text Solution

    |