Home
Class 12
MATHS
Differentiate cos^(-1)(2x^2-1) with resp...

Differentiate `cos^(-1)(2x^2-1)` with respect to `x ,` if `0

Text Solution

Verified by Experts

y=`cos^(-1)(2x^2-1)`
x=`costheta`
y=`cos^(-1)(2(costheta)^2-1)`
=`2theta`
=`pi < 2theta < 2pi`
u=`2pi-2theta`
...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

Similar Questions

Explore conceptually related problems

Differentiate cos^(-1)(2x^(2)-1) with respect to x, if '-1

Differentiate cos^(-1)(1-2x^(2)) with respect to x, if '-1

Differentiate cos^(-1)(sin x) with respect to x:

Differentiate cos^(-1)(1-2x^(2)) with respect to x, if ^(*)0

Differentiate cos^(-1)(1-2x^(2)) with respect to x, if 0

Differentiate x^(cos)^^((-1)x) with respect to x:

Differentiate cos^(-1)(4x^(3)-3x) with respect to x, if x in(-(1)/(2),(1)/(2))

Differentiate cos ^(-1)(4x^(3)-3x) with respect to x, if x in((1)/(2),1)

Differentiate cos ^(-1)(4x^(3)-3x) with respect to x, if x in(-1,-(1)/(2))

Differentiate x cos^(-1)x with respect to x:

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate sin^(-1)(2xsqrt(1-x^2))w i t hr e s p e c ttox ,if -1/(...

    Text Solution

    |

  2. Differentiate sin^(-1)(3x-4x^3)

    Text Solution

    |

  3. Differentiate cos^(-1)(2x^2-1) with respect to x , if 0<x<1 (ii) -1<x...

    Text Solution

    |

  4. If y=cos^(-1){xsqrt(1-x)+sqrt(x)sqrt(1-x^2)} and 0<x<1 find (dy)/(dx)

    Text Solution

    |

  5. If y=sqrt(a^2-x^2) , prove that y(dy)/(dx)+x=0

    Text Solution

    |

  6. If y=e^x+e^(-x),"p r o v et h a t"(dy)/(dx)=sqrt(y^2-4)

    Text Solution

    |

  7. If y=sqrt(x^2+a^2) ,prove that y(dy)/(dx)-x=0

    Text Solution

    |

  8. If y=xsin^(-1)x+sqrt(1-x^2), p rov et h a t(dy)/(dx)=sin^(-1)x

    Text Solution

    |

  9. If y=1/2log((1-cos2x)/(1+cos2x)),p rov et h a t(dy)/(dx)=2cos e c2x

    Text Solution

    |

  10. If y=e^xcosx ,p rov et h a t(dy)/(dx)=sqrt(2)e^xcos(x+pi/4)

    Text Solution

    |

  11. If y=(x-1)log(x-1)-(x+1)log(x+1),p rov et h a t(dy)/(dx)=log((x-1)/(1+...

    Text Solution

    |

  12. If y=sqrt(x)+1/(sqrt(x)),p rov et h a t2x(dy)/(dx)=sqrt(x)-1/(sqrt(x))

    Text Solution

    |

  13. P rov et h a t d/(dx){x/2sqrt(a^2-x^2)+(a^2)/2sin^(-1)x/a}=sqrt(a^2-x^...

    Text Solution

    |

  14. If x y=4,p rov et h a tx((dy)/(dx)+y^2)=3y

    Text Solution

    |

  15. Differentiate the following functions with respect to x : tan^(-1)s...

    Text Solution

    |

  16. Differentiate the following functions with respect to x : tan^(-1)((...

    Text Solution

    |

  17. Differentiate the following functions with respect to x : tan^(-1)((3...

    Text Solution

    |

  18. Differentiate the following functions with respect to x : tan^(-1)(...

    Text Solution

    |

  19. Differentiate the following functions with respect to x : tan^(-1){(1+...

    Text Solution

    |

  20. Differentiate the following functions with respect to x : tan^(-1){s...

    Text Solution

    |