Home
Class 12
MATHS
Find the derivative of f(tanx) w.r.t. g(...

Find the derivative of `f(tanx)` w.r.t. `g(secx)` at `x=pi/4` , where `f^(prime)(1)=2` and `g^(prime)(sqrt(2))=4` .

A

`(1)/(sqrt(2))`

B

`sqrt(2)`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
`(df(tan x))/(dg(sec x)) = (f'(tan x). sec^(2)x)/(g'(sec x). secx tanx)`
= ` (f(tanx))/(g'(sec x)) xx(1)/(sin x) "at x" = (pi)/(4)`
`= (f'(1))/(g'(sqrt(2))) xx(1)/(1sqrt(2))= (2)/(4) xxsqrt(2) = (1)/(sqrt(2))` .
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORER|35 Videos

  • DIFFERENTIATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 1 (HIGHER ORDER DERIVATIVE )|15 Videos

  • DIFFERENTIAL EQUATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|27 Videos

  • FACTORIZATION FORMULAE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2|21 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of f(tan x)w*r.tg(sec x) at x=(pi)/(4), where f'(1)=2 and g'(sqrt(2))=4

The derivative of f(tan x)w*r.t.g(sec x) at x=(pi)/(4), where f'(1)=2 and g'(sqrt(2))=4

Derivative of (f@g)(x)w.r.t.g(x) is

Find derivative of (lnx)^(tanx) w.r.t. x^x .

The derivative of a^(secx) w.r.t. a^(tanx)(agt0) is

Find the differentiation of log(secx+tanx) w.r.t. \ x

The derivative of f(x)= 3x^2 +2x + 4 w.r.t. x is

If f(x) =tan ^(-1)x,then derivative of f(tan x) w.r.t. f(cot x) is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIATION -EXERCISE 2 (MISCELLANEOUS PROBLEMS)
  1. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

    Text Solution

    |

  2. If x^(2) + y^(2) = a^(2) , then a is equal to

    Text Solution

    |

  3. Let f(x) be a polynomial.Then, the second order derivative of f(e^x) i...

    Text Solution

    |

  4. If y = sin^(n) x cos nx, " then" (dy)/(dx) is

    Text Solution

    |

  5. If y = sec^(-1) [ "cosec x"] + "cosec"^(-1) [sec x] + sin^(-1) [cos x...

    Text Solution

    |

  6. If f(x)=(g(x)+g(-x))/2 + 2/[h(x)+h(-x)]^(-1), where g and h are diffe...

    Text Solution

    |

  7. If y = e^(x) * e^(x^(2)) *e^(x^(3) )*...*e^(x^(n))..., " for " - lt x ...

    Text Solution

    |

  8. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  9. If f(x) = (x - 1)/(4) + ((x - 1)^(2))/(12) + ((x -1)^(5))/(20) + ((x -...

    Text Solution

    |

  10. If x=e^tsint,y=e^tcost then (d^2y)/(dx^2) at x=pi is

    Text Solution

    |

  11. (d^2x)/(d y^2) equals

    Text Solution

    |

  12. If x=sint and y=cos pt, then

    Text Solution

    |

  13. If a=A cos 4t+B sin4t, then (d^(2)x)/(dt^(2)) is equal to

    Text Solution

    |

  14. let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

    Text Solution

    |

  15. If y=(1)/(4)u^(4),u=(2)/(3)x^(3)+5, then (dy)/(dx)=

    Text Solution

    |

  16. If f(1)=3 , f'(1)=2 , then d/(dx) {logf(e^x+2x)} at x=0 is equal to......

    Text Solution

    |

  17. If y = sqrt(((x-a)(x-b))/((x-c)(x-d))), " then " (dy)/(dx) is equal t...

    Text Solution

    |

  18. Find the derivative of f(tanx) w.r.t. g(secx) at x=pi/4 , where f^(pri...

    Text Solution

    |

  19. If y^2 = p ( x ), a polynomial of degree 3, then 2 d/(dx) (y^3 (d^2y)/...

    Text Solution

    |

  20. Find (dy)/(dx) , when x=e^(theta)(theta+1/theta) and y=e^(-theta)(thet...

    Text Solution

    |