Home
Class 12
MATHS
Differentiate tan^(-1)((1+2x)/(1-2x))w i...

Differentiate `tan^(-1)((1+2x)/(1-2x))w i t hr e s p e c ttosqrt(1+4x^2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to x

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to x

Differentiate tan^(-1)((1+a x)/(1-a x)) with respect to sqrt(1+a^2x^2)dot

Differentiate tan^-1((4sqrt(x))/(1-4x))

Differentiate tan^(-1)((a+x)/(1-a x)) with respect to x

Differentiate tan^(-1)((1-x)/(1+x)) with respect to sqrt(1-x^2) , if -1 < x < 1 .

Differentiate sin^(-1)(2xsqrt(1-x^2))w i t hr e s p e c ttox ,if -1/(sqrt(2)) < x < 1/(sqrt(2))

Differentiate sin^(-1){(2^(x+1). 3^x)/(1+(36)^x)}"w i t hr e s p e c tt o"xdot

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to sin^(-1)((2x)/(1+x^2)) , if x in (-1,\ 1)

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to sin^(-1)((2x)/(1+x^2)) , if x in (-1,\ 1)

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If =(sqrt(a^2+x^2)+sqrt(a^2-x^2))/(sqrt(a^2+x^2)-sqrt(a^2-x^2)) , show...

    Text Solution

    |

  2. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)x ,x...

    Text Solution

    |

  3. Differentiate tan^(-1)((1+2x)/(1-2x))w i t hr e s p e c ttosqrt(1+4x^2...

    Text Solution

    |

  4. Differentiate x^x with respect to xlogxdot

    Text Solution

    |

  5. Differentiate sin^(-1)((2x)/(1+2x)) wrt to tan^(-1)x , -1<x<1.

    Text Solution

    |

  6. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

    Text Solution

    |

  7. If u=sin(mcos^(-1)x),v=cos(msin^(-1)x),p rov et h a t(d u)/(d v)=sqrt(...

    Text Solution

    |

  8. Differentiate logsinx with respect to sqrt(cosx) .

    Text Solution

    |

  9. Find (dy)/(dx),w h e n x=e^(theta)(theta+1/theta)a n dy=e^(-theta)(th...

    Text Solution

    |

  10. If f(x)=|x+a^2a b a c a b x+b^2b c a bb c x+c^2|,fin df^(prime)(x)dot

    Text Solution

    |

  11. Differentiate tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x...

    Text Solution

    |

  12. Differentiate the following functions with respect to x : (x^2+x+1)^...

    Text Solution

    |

  13. Differentiate the following functions with respect to x : (i)logsinx^...

    Text Solution

    |

  14. Differentiate log sinx from first principle.

    Text Solution

    |

  15. If f(x)=|logx|,xgt0,find f^(prime)(1/e)a n df^(prime)(e)

    Text Solution

    |

  16. Differentiate sin^(-1)sqrt(x)(0ltxlt1) from first principles.

    Text Solution

    |

  17. Differentiate cos^(-1)(2x+3) from first principles.

    Text Solution

    |

  18. Differentiate the following functions with respect to x : (2^2cotx)/(...

    Text Solution

    |

  19. If f(x)=|cosx-sinx|,find f^(prime)(pi/6) and f^(prime)(pi/3)dot

    Text Solution

    |

  20. If y=(1+x)(1+x^2)(1+x^4)(1+x^8)...........(1+x^(2n)),find dy//dx at x...

    Text Solution

    |