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` .

Promotional Banner

Topper's Solved these Questions

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

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. Define derivative of sin^(-1)((2x)/(1+x^2)) w.r.t. cos^(-1)((1-x^2)/(1...

    Text Solution

    |

  2. Differential coefficient of e^sin^((-1)x) w.r.t. e^-cos^((-1)x) is ind...

    Text Solution

    |

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

    Text Solution

    |

  4. If y=sin(sinx) then prove that y2+(tanx)y1+ycos^2x=0

    Text Solution

    |

  5. If y=acos(lnx)+bsin(lnx) then prove that x^2y3+3x y2+2y1=0

    Text Solution

    |

  6. If y=e^acos^((-1)x) , then prove that (1-x^2)y2-x y1-a^2y=0 .

    Text Solution

    |

  7. If (x-a)^2+(y-b)^2=c^2\ \ (c >0) then ([1+((dy)/(dx))^2]^(3//2))/((d^2...

    Text Solution

    |

  8. Using mathematical induction prove that d/(dx)(x^n)=n x^(n-1) for all...

    Text Solution

    |

  9. If y=e^tan^((-1)x) , prove that (1+x^2)y2+(2x-1)y1=0 .

    Text Solution

    |

  10. If y=e^(asin^(-1)x) then show that (1-x^2)y(n+2)-(2n+1)xy(n+1)-(n^2+a^...

    Text Solution

    |

  11. Find (dy)/(dx), if x=acostheta , y=asintheta

    Text Solution

    |

  12. Find (dy)/(dx) , if x=a t^2 , y=2a t

    Text Solution

    |

  13. Find (dy)/(dx) , if x^(2/3) +y^(2/3)=a^(2/3)

    Text Solution

    |

  14. Find (dy)/(dx) , if x=2a t^2 , y=a t^4

    Text Solution

    |

  15. Find (dy)/(dx) , if x=(sin^3t)/(sqrt(cos2t)) , y=(cos^3t)/(sqrt(cos2t)...

    Text Solution

    |

  16. Find (dy)/(dx) , if x=acostheta , y=bcostheta

    Text Solution

    |

  17. Find (dy)/(dx) , if x=costheta-cos2theta , y=sintheta-sin2theta

    Text Solution

    |

  18. Find (dy)/(dx), when x=a e^(theta)(sintheta-costheta),y=a e^(theta)(si...

    Text Solution

    |

  19. Find (dy)/(dx) , if x=a(cost+logtant/2) , y=asint

    Text Solution

    |

  20. Find (dy)/(dx) , if x=asectheta , y=btantheta

    Text Solution

    |