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

Let f and g be differentiable functions on R such that fog is the identity function. If for some `a,b in R,g'(a)=5` and `g(a)=b`, then `f'(b)` is equal to :

A

`2/5`

B

`1/5`

C

1

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE (Main) 2020 QUESTION PAPER (8TH JAN-AFTERNOON)

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|25 Videos

  • JEE (Main) 2020 QUESTIONS WITH SOLUTION B.ARCH (6TH JAN-AFTERNOON

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|25 Videos

Similar Questions

Explore conceptually related problems

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

if f(x) and g(x) are continuous functions, fog is identity function, g'(b) = 5 and g(b) = a then f'(a) is

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

If f and g are derivable function of x such that g'(a)ne0,g(a)=b" and "f(g(x))=x," then 'f'(b)=

If f is an even function and g is an odd function then the function fog is

MCGROW HILL PUBLICATION-JEE (MAIN) 2020 QUESTIONS ( 9TH JAN-AFTERNOON) -JEE (Main) 2020 Questions with Solutions Mathematics (9th Jan - Afternoon)
  1. If 10 different balls are to be placed in 4 distinct boxes at random, ...

    Text Solution

    |

  2. If x=2sin theta-sin2 theta and y=2cos theta-cos2 theta,theta in[0,2 pi...

    Text Solution

    |

  3. Let f and g be differentiable functions on R such that fog is the iden...

    Text Solution

    |

  4. In the expansion of ((x)/(costheta)+(1)/(xsintheta)), if l(1) is the l...

    Text Solution

    |

  5. Let both root of equation ax^2 - 2bx + 5 = 0 are α and root of equatio...

    Text Solution

    |

  6. Let a function f:[0,5] to R be continuous, f(1)=3 and F be defined as ...

    Text Solution

    |

  7. Let [t] denote the greatest integer le t and lim(xto0)x[4/x]=A. Then t...

    Text Solution

    |

  8. If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c =...

    Text Solution

    |

  9. Given : f(x){(x",",0lexlt1/2),(1/2",",x=1/2),(1-x",",1/2ltxle1):} and ...

    Text Solution

    |

  10. If 7x + 6y - 2z = 0, 3x + 4y + 2z = 0, x - 2y - 6z = 0 then which opti...

    Text Solution

    |

  11. If p rarr (p wedge ~ q) is false. Truth value of p & q will be

    Text Solution

    |

  12. The length of the minor axis (along the y-axis) of an ellipse in the s...

    Text Solution

    |

  13. z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't ...

    Text Solution

    |

  14. If x underset(n=0)overset(oo)Sigma (-1)^n " tan "^(2n) " and " y = un...

    Text Solution

    |

  15. If (dx)/dy = (xy)/(x^2 + y^2), y(1) = 1 and y(x) = e then x =

    Text Solution

    |

  16. Let one end of focal chord of parabola y^2 = 8x is (1/2, -2), then equ...

    Text Solution

    |

  17. Let an is a positive term of a GP and sum(n=1)^100 a(2n + 1)= 200, sum...

    Text Solution

    |

  18. Let probability distribution is [[xi,:,1, 2, 3, 4, 5], [pi,:,k^2, 2k, ...

    Text Solution

    |

  19. int((d(theta))/((cos^2 theta)(sec(2theta) + tan(2theta)))) = lambda t...

    Text Solution

    |

  20. Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|v...

    Text Solution

    |