Home
Class 12
MATHS
f(x)= x + tan x and f is an inverse func...

`f(x)= x + tan x` and f is an inverse function of g then g'(x)= ……..

A

(a) `(1)/(1+ (g(x)-x)^(2))`

B

(b) `(1)/(1-(g(x)-x)^(2))`

C

(c) `(1)/(2+ (g(x)-x)^(2))`

D

(d) `(1)/(2-(g(x)-x)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|96 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Short Answer Type Questions)|156 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise - 5|46 Videos
  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Fundamental theorem of definite integral : f(x)=int_(2)^(x)(dt)/(sqrt(1+t^(4))) and g is a inverse function of f then g'(0) =………….

The function f (x) = tan x-x ………..

f(x+y) = f(x) + f(y), "for " AA x and y and f(x)= (2x^(2) + 3x) g(x) . For AA x . If g(x) is a continuous function and g(0)= 3 then f'(x) = ……….

Let f(x)=x+ sin x . Suppose g denotes the inverse function of f. The value of g'(pi/4+1/sqrt2) has the value equal to

If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

Evaluation of definite integrals by subsitiution and properties of its : f is a function such that f'(x)=f(x) and f(0)=1g(x) is a function such that g(x)+f(x)=x^(2) then int_(0)^(1)f(x)g(x)dx=………

f (x)= {x} and g(x)= [x]. Where { } is a fractional part and [ ] is a greatest integer function. Prove that f(x)+ g(x) is a continuous function at x= 1.

If f: N rarr R be the function defined by f(x) = (2x-1)/2 and g : Q rarr R be another function defined by g(x) = x+2 . Then , gof (3/2) is .......

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
  1. The function f(x)= (sin 3x)^(tan^(2)3x) is continuous at x= (pi)/(6) t...

    Text Solution

    |

  2. y^(2) = ax^(2) +bx + c then y^(3) (d^(2)y)/(dx^(2)) is a …….. function

    Text Solution

    |

  3. f(x)= x + tan x and f is an inverse function of g then g'(x)= ……..

    Text Solution

    |

  4. If y^(2)= p(x) the is polynomial of order 3, then 2(d)/(dx) [y^(3) (d^...

    Text Solution

    |

  5. If x^(2) + y^(2) =t - (1)/(t) and x^(4) + y^(4) = t^(2) + (1)/(t^(2))...

    Text Solution

    |

  6. If sin y= x sin (a+ y) and (dy)/(dx)= (A )/(1 + x^(2)-2x cos a) then t...

    Text Solution

    |

  7. f(x+y) = f(x) + f(y), "for " AA x and y and f(x)= (2x^(2) + 3x) g(x). ...

    Text Solution

    |

  8. y= sin x- cos x and f(x)= (d^(17)y)/(dx^(17)) " then " f((pi)/(4))= ……...

    Text Solution

    |

  9. y= tan^(-1) ((ax-b)/(bx + a)) " then " (dy)/(dx)|(x= -1)= ………

    Text Solution

    |

  10. u= f (tan x), v= g(sec x), f'(1) =2 and g'(sqrt2)= 4 " then " (du)/(d...

    Text Solution

    |

  11. f(x)= sin^(2)x + sin^(2) (x + (pi)/(3)) + cos x cos (x + (pi)/(3)) a...

    Text Solution

    |

  12. y= e^(3x + 7) " then " y(n) (0)=……..

    Text Solution

    |

  13. x= f(t), y= phi (t) then (d^(2)y)/(dx^(2))= ……..

    Text Solution

    |

  14. In the function f(x)= 2x^(3) + bx^(2) + qx satisfies conditions of Rol...

    Text Solution

    |

  15. If y= (a + bx)/(c + dx), where a, b, c, d are constants and lamda y(1)...

    Text Solution

    |

  16. The function f(x)= (2- root(4)(x^(2) +16))/(cos 2x-1) is continuous at...

    Text Solution

    |

  17. Let f(x)= x^(3)-x^(2) + x + 1 g(x) = max I {f(t), 0 le t le x}, 0 le x...

    Text Solution

    |

  18. f(x)= |(sin x,cos x),(tan x,cot x)| then f'((pi)/(4))= …….

    Text Solution

    |

  19. x= t^(2) + 3t- 8,y= 2t^(2) -2t- 4. If at point (2, -1), lamda = (dy)/(...

    Text Solution

    |

  20. x=2 + t^(3), y= 2t^(2). If ((d^(2)y)/(dx^(2)))/(((dy)/(dx))^(n)) is co...

    Text Solution

    |