Home
Class 12
MATHS
The derivative of a^(sec x ) " w.r.t."...

The derivative of ` a^(sec x ) " w.r.t."a^(tan x ) (a gt 0) ` is

A

`sec x a^(sec x - tanx)`

B

`sin x a^(tan x- sec x)`

C

`sin x.a^(sec x - tan x)`

D

`a^(sec x - tan x)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise DERIVATIVE OF PARAMETRIC FUNCTIONS|18 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise HIGHER ORDER DERIVATIVES|32 Videos
  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise DERIVATIVE OF INVERSE FUNCTIONS|27 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

The derivative of y=x^(2^(x)) w.r.t. x is

Derivative of x ^(x) w.r.t xlogx is

The derivative of x.e^(x).sin x w.r.t x is

Find the derivative of 7^(x) w.r.t x^(7).

Find the derivative of x^(sin x),x>0 w.r.t.x

Find derivative of cos(sin x) w.r.t.to x

The derivation of sec^(2)x w.r.t. tan^(2)x is

The derivative of cos^(3)x w.r.t. sin^(3)x is

Find derivative of (e^(x))/(sin x) w.r.t.to x

Find the derivative of (log x)^(cos x) w.r.t.x

TARGET PUBLICATION-DIFFERENTIATION -LOGARITHMIC DIFFERENTIATION
  1. If cos(x+y) = y sinx, then (dy)/(dx)

    Text Solution

    |

  2. If sin (x+y) +cos (x+y) =1,then (dy)/(dx)=

    Text Solution

    |

  3. If sin(x+y)=log(x+y) then (dy)/(dx)=

    Text Solution

    |

  4. If 3sin(x y)+4cos(x y)=5,t h e n(dy)/(dx)= -y/x (b) (3sin(x y)+4c...

    Text Solution

    |

  5. If x=ysqrt(1-y^(2)), then (dy)/(dx)=

    Text Solution

    |

  6. If xsqrt(1 + y) + ysqrt(1 + x) = 0 x != y prove that (dy)/(dx) = (-1)/...

    Text Solution

    |

  7. If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s x/(2y-1)...

    Text Solution

    |

  8. If y=sqrt(sinx+y) , then (dy)/(dx) equals (cosx)/(2y-1) (b) (cosx)/(1-...

    Text Solution

    |

  9. If y=sqrt(cosx+sqrt(cosx+sqrt(cosx+......oo, then prove that (dy)/(dx)...

    Text Solution

    |

  10. If y=e^(x+e^(x+e^(x+..."to"oo)))," then: "(dy)/(dx)=

    Text Solution

    |

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

    Text Solution

    |

  12. If y = x^(x ^(x^(x ^(x.... oo) then prove that x dy/dx = y^2/(1- y lo...

    Text Solution

    |

  13. The derivative of a^(sec x ) " w.r.t."a^(tan x ) (a gt 0) is

    Text Solution

    |

  14. Differentiate x=e^(theta)(theta+(1)/(theta)),y = e^(-theta)(theta-( 1)...

    Text Solution

    |

  15. x=a(cos t + log tan t/2), y =a sin t

    Text Solution

    |

  16. If x= a sin 2theta (1+ cos 2theta), y= b cos 2theta(1- cos 2theta), th...

    Text Solution

    |

  17. If x=t log t ,y =t^(t) ,then (dy)/(dx)=

    Text Solution

    |

  18. Differentiate tan^(-1)((2x)/(1-x^2)) with respect to sin^(-1)((2x)/(1+...

    Text Solution

    |

  19. The derivative of sin^(-1)((2x)/(1+x^2)) w.r.t. cos^(-1)((1-x^2)/(1+x^...

    Text Solution

    |

  20. The derivative of cos^(-1)((1-x^2)/(1+x^2)) w.r.t. cot^(-1)((1-3x^2)/(...

    Text Solution

    |