Home
Class 12
MATHS
Let f and g be differentiable functions ...

Let f and g be differentiable functions satisfying `g(a) = b,g' (a) = 2` and fog =I (identity function). then f' (b) is equal to

A

`2//3`

B

1

C

0

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Let g:R rarr R be a differentiable function satisfying g(x)=g(y)g(x-y)AA x,y in R and g'(0)=a and g'(3)=b. Then find the value of g'(-3)

Let g (x) be a differentiable function satisfying (d)/(dx){g(x)}=g(x) and g (0)=1 , then g(x)((2-sin2x)/(1-cos2x))dx is equal to

Let f : (a, b) to R be twice differentiable function such that f(x) = int _(a) ^(x) g (t) dt for a differentiable function g(x) . If f(x) = 0 has exactly five distinct roots in (a,b) , then g(x) g'(x) = 0 has at least

f and g differentiable functions of x such that f(g(x))=x," If "g'(a)ne0" and "g(a)=b," then "f'(b)=

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. if y=(A+Bx)e^(mx)+(m-1)^-1 e^x then (d^2y)/(dx^2)-2m(dy)/(dx)+m^2y is ...

    Text Solution

    |

  2. If f(x)=-(x^(3))/(3)+x^(2)sina.sin2a-5sin^(-1)(a^(2)-8a+17),then

    Text Solution

    |

  3. Let f and g be differentiable functions satisfying g(a) = b,g' (a) = ...

    Text Solution

    |

  4. The derivative of the function, f(x)=cos^(-1){(1)/(sqrt13)(2cosx-3sin...

    Text Solution

    |

  5. If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f...

    Text Solution

    |

  6. Let y=ln(1+cosx)^(2), then the value of(d^(2)y)/(dx^(2))+(2)/(e^(y//2)...

    Text Solution

    |

  7. If f(x)=(a+sqrt(a^2-x^2)+x)/(sqrt(a^2-x^2)+a-x) where a>0 and x<a then...

    Text Solution

    |

  8. Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x)...

    Text Solution

    |

  9. If f(x)=|log(e)|x||," then "f'(x) equals

    Text Solution

    |

  10. If f(x) is given by f(x)=(cosx+i sinx)(cos3x+isin3x)......... .......

    Text Solution

    |

  11. Let f(x)=x^(n) , n being a non-negative integer, The value of n for w...

    Text Solution

    |

  12. If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the grea...

    Text Solution

    |

  13. The function u=e^x s in ; v=e^x cos x satisfy the equation v(d u)/(dx)...

    Text Solution

    |

  14. If f(x)=logx(lnx) then f'(x) at x=e is

    Text Solution

    |

  15. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

    Text Solution

    |

  16. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  17. If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo)))), then (dy)/(dx) is equal to

    Text Solution

    |

  18. If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

    Text Solution

    |

  19. Let f(x)=x^2+xg^2(1)+g^''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then fin...

    Text Solution

    |

  20. if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...

    Text Solution

    |