Home
Class 12
MATHS
Differentiate the following function ...

Differentiate the following function with respect to `x :` `sin^(-1)(2x^2-1), 0 lt x lt 1`

Text Solution

Verified by Experts

Let `y=sin^(−1)(2x^2−1)`
`siny=2x^2−1`
`d/dx​(siny)=d/dx​(2x^2−1)`
`cosy.(dy/dx)​=4x`
...
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 the following function with respect of x:sin^(2)x

Differentiate the following function with respect to x:x^( sin ^(-1)x)x

Differentiate the following function with respect to x:quad sin(x^(x))

Differentiate the following function with respect to x:10^(log sin x)

Differentiate the following function with respect to x:x^((1)/(x))

Differentiate the following functions with respect to (log sin x)^(2)

Differentiate the following function with respect of x:x^(3)sin x

Differentiate the following functions with respect to x:tan(e^(sin x))

Differentiate the following functions with respect to (sin^(-1)x^(4))^(4)

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

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate the following function with respect to x : cos^(-1){2...

    Text Solution

    |

  2. If sec((x+y)/(x-y))=a,p rov et h a t(dy)/(dx)=y/xdot

    Text Solution

    |

  3. Differentiate the following function with respect to x : sin^(-1...

    Text Solution

    |

  4. Differentiate the following function with respect to x : tan^(-1...

    Text Solution

    |

  5. If x=sin^(-1)((2t)/(1+t^2))"and"y=tan^(-1)((2t)/(1-t^2)),-1<t<1, "p="...

    Text Solution

    |

  6. If x^(13)y^7=(x+y)^(20),p rov et h a t(dy)/(dx)=y/xdot

    Text Solution

    |

  7. Find (dy)/(dx), when x=cos^(-1)1/(sqrt(1+t^2))"and"y=sin^(-1)t/(sqrt(1...

    Text Solution

    |

  8. If .

    Text Solution

    |

  9. If x=2costheta-cos2theta"and"y=2sintheta-sin2theta"P r o v et h a t" ...

    Text Solution

    |

  10. If x=cost"and"y=sint ,"p r o v et h a t"(dy)/(dx)=1/(sqrt(3))"at"t=(2...

    Text Solution

    |

  11. Differentiate the following functions with respect to cos(logx)^2

    Text Solution

    |

  12. Differentiate the following functions with respect to e^(a x)secxta...

    Text Solution

    |

  13. Differentiate the following functions with respect to x : (i)log(c...

    Text Solution

    |

  14. Find (dy)/(dx), y=x^x+x^(1/x)

    Text Solution

    |

  15. Differentiate the following function 3e^(-3x)"log"(1+x)

    Text Solution

    |

  16. Differentiate the following functions with respect to (x^2+2)/(sqrt...

    Text Solution

    |

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

    Text Solution

    |

  18. Find (dy)/(dx) in each of the following: 4x+3y="log"(4x-3y)

    Text Solution

    |

  19. Find (dy)/(dx) in each of the following: x^(2/3)+y^(2/3)=a^(2/3)

    Text Solution

    |

  20. Find (dy)/(dx) in each of the following: x y=c^2

    Text Solution

    |