Home
Class 12
MATHS
Let e^(f(x))=lnxdot If g(x) is the inv...

Let `e^(f(x))=lnxdot` If `g(x)` is the inverse function of `f(x),` then `g^(prime)(x)` equal to: (a) `e^x` (b) `e^x+x` . (c) `e^x+e^x` (d) `e^(e^x+x)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If e^f(x)= log x and g(x) is the inverse function of f(x), then g'(x) is

The function f(x) =e^(|x|) is

The function f(x) = e^(|x|) is

The function f(x) = e^(|x|) is

If f(x)=(log)_x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e (b) e (c) 1 (d) zero

int(x-1)\ e^(-x)\ dx is equal to x e^x+C (b) x e^x+C (c) -x e^(-x)+C (d) x e^(-x)+C

Let f(x) = exp(x^3 +x^2+x) for any real number and let g(x) be the inverse function of f(x) then g'(e^3)

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

The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))

If e^(x)+e^(f(x))=e , then the domain of the function f is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

    Text Solution

    |

  2. For the equation, 3x^2+p x+3=0,p >0, if one of the roots is square of...

    Text Solution

    |

  3. Let e^(f(x))=lnxdot If g(x) is the inverse function of f(x), then g...

    Text Solution

    |

  4. Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...

    Text Solution

    |

  5. If f(x)=2ln(x-2)-x^2+4x+1, then find the solution set of the inequalit...

    Text Solution

    |

  6. If graph of y= f(x) is as shown in figure, then which of the following...

    Text Solution

    |

  7. If f(x)=(log)x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e ...

    Text Solution

    |

  8. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

    Text Solution

    |

  9. Let y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then ...

    Text Solution

    |

  10. The graphs of y= sin x ,y=cos x , y=t a n x& y=cos e c x drawn on the ...

    Text Solution

    |

  11. The values of lambda for which the function f(x)=lambdax^3-2lambdax^2...

    Text Solution

    |

  12. Number of solutions of the equation, [y+[y]]=2cosx is: (where y=1//3)[...

    Text Solution

    |

  13. Number of solutions of the equation, cot^(-1)(x^2+1)=sin^(-1)|x| (a)...

    Text Solution

    |

  14. If the difference of the roots of the equation, x^2+p x+q=0 be unity,...

    Text Solution

    |

  15. Range of f(x) =[1+sinx]+[cosx-1]+[tan^(- 1)x] AA x in [0,2pi] where []...

    Text Solution

    |

  16. If -3+5i is a root of the equation x^2+p x+q=0 , then the ordered pair...

    Text Solution

    |

  17. Number of distinct real solutions of the equation x^(2)+((x)/(x-1))^(2...

    Text Solution

    |

  18. (p ^^ ~ q)vv q is logical equivalent to (a) p vv q (b) ~P (c) p (d) ~q

    Text Solution

    |

  19. Equation of circle symmetric to the circle x^(2)+y^(2)+16x -24y +183 =...

    Text Solution

    |

  20. Equation of straight liens joining the origin and points of interse...

    Text Solution

    |