Home
Class 11
MATHS
Find the derivative of f(tan x) w.r.t. g...

Find 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.`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Find the derivatives of : tan x" w.r.t. " log x

Find the derivative of sqrt(5-x) w.r.t. x .

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

Find the derivatives w.r.t. x : tan^(-1)(sec x)

Find the derivatives w.r.t. x : e^(x) sec x

Find the derivatives w.r.t. x : {f(x)}^(n)

Find the derivatives w.r.t. x : e^(x)tan x

Find the derivatives w.r.t. x : sec phi(x)

Find the derivatives w.r.t. x : (e^(2x))^(4)

Find the derivatives w.r.t. x : sin{f(x)}

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Differentiate tan ^(-1)(sqrt(1+x^2 )-1)/x w,r,t. tan ^(-1)x

    Text Solution

    |

  2. If 0ltx<1, then="" prove="" that="" (1-2x)="" (1-x="x^2)+(2x-4x^3)/(1-...

    Text Solution

    |

  3. Find the derivative of f(tan x) w.r.t. g (sec x) at x=(pi)/(4), where ...

    Text Solution

    |

  4. If f(x)=cos^(-1)(1/sqrt(13)(2cosx-3sinx)) +sin^(-1)(1/sqrt(13)(2cosx+...

    Text Solution

    |

  5. Find the derivative of tan^-1((2x)/(1-x^2)) w.r.t. sin^-1((2x)/(1+x^2)...

    Text Solution

    |

  6. If |a1sinx+a2sin2x++ansinn x|lt=|sinx| for x in R , then prove that |...

    Text Solution

    |

  7. Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/...

    Text Solution

    |

  8. If y=(1/2)^(n-1)cos(ncos^(-1)x), then prove that y satisfies the diffe...

    Text Solution

    |

  9. If y=f(x^3),z=g(x^5),f^(prime)(x)=tanx ,a n dg^(prime)(x)=secx , then ...

    Text Solution

    |

  10. If x in (0,pi/2), then show that cos^(-1)(7/2(1+cos2x)+sqrt((sin^2x-48...

    Text Solution

    |

  11. "If "f(x)=|{:(x+a^(2),ab,ac),(ab, x+b^(2),bc),(ac,bc, x+c^(2)):}|," th...

    Text Solution

    |

  12. If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s (a)(-2)/(1+x^2) fo...

    Text Solution

    |

  13. If f(x),g(x) and h(x) are three polynomials of degree 2, then prove th...

    Text Solution

    |

  14. If f(x-y), f(x) f(y) and f(x+y) are in A.P. for all x , y ,and f(0)!=0...

    Text Solution

    |

  15. If x^3+y^3+3a x y=0 , f i n d dy / dx

    Text Solution

    |

  16. If 1 is the twice repeated root of the equation a x^3+b x^2+b x+d=0,t ...

    Text Solution

    |

  17. If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y)

    Text Solution

    |

  18. If y=btan^(-1)(x/a+tan^(-1)y/x),find(dy)/(dx)dot

    Text Solution

    |

  19. Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to (a)1/(2y-...

    Text Solution

    |

  20. If y=sqrt(sinx+y), then find (dy)/(dx)

    Text Solution

    |