Home
Class 12
MATHS
If y=cos^(-1){(2x-3sqrt(1-x^2))/(sqrt(1...

If `y=cos^(-1){(2x-3sqrt(1-x^2))/(sqrt(13))},"f i n d"(dy)/(dx)`

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) for the function \[ y = \cos^{-1}\left(\frac{2x - 3\sqrt{1 - x^2}}{\sqrt{13}}\right), \] we will follow these steps: ...
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

Ify=cos^(-1)((2x-3sqrt(1-x^(2)))/(13)) then,find (dy)/(dx)

If y = cos^(-1) [(x+sqrt(1-x^(2)))/(sqrt(2))] then (dy)/(dx) =

If y=tan^(-1)[(x-sqrt(1-x^(2)))/(x+sqrt(1-x^(2)))]," then "(dy)/(dx)=

If y = cos^(-1) ((2cos x - 3 sin x)/(sqrt(13))), " then" (dy)/(dx) is equal to

If y=cos^(-1)((3x+4sqrt(1-x^(2)))/(5)), find (dy)/(dx)

If y=cos ^(-1) ((sqrt (1+x) -sqrt (1-x) )/( 2)) ,then (dy)/(dx)=

If y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2), 0

If y=cos ^(-1) ((3cos x-2sin x )/( sqrt(13))),then (dy)/(dx)=

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. If sqrt(y+x)+sqrt(y-x)=c ,show that (dy)/(dx)=y/x-sqrt((y^2)/(x^2)-1....

    Text Solution

    |

  2. If (sinx)^y=(cosy)^x ,prove that (dy)/(dx)=(logcosy-ycotx)/(logsinx+xt...

    Text Solution

    |

  3. If y=cos^(-1){(2x-3sqrt(1-x^2))/(sqrt(13))},"f i n d"(dy)/(dx)

    Text Solution

    |

  4. If e^x+e^y=e^(x+y),prove that (dy)/(dx)+e^(y-x)=0

    Text Solution

    |

  5. If xsin(a+y)+sina cos(a+y)=0, prove that (dy)/(dx)=sin^2(a+y)/sina

    Text Solution

    |

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

    Text Solution

    |

  7. Differentiate the following functions with respect tox (2^xcosx)/((x...

    Text Solution

    |

  8. Differentiate the following functions with respect to e^(sin^{-1}{...

    Text Solution

    |

  9. Differentiate the following functions with respect to "sin"(2sin^(-...

    Text Solution

    |

  10. Differentiate the following function sqrt(tan^(-1)(sqrtx))

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Differentiate tan^(-1)((x-1)/(x+1)) with respect to sin^(-1)(3x-...

    Text Solution

    |

  14. If y = (logcos x sinx)(logsin x cos x)–1 + sin–1(2x/(1 + x2)) then pro...

    Text Solution

    |

  15. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)),x > 0. Find (dy)/(dx)...

    Text Solution

    |

  16. Differentiate tan^(-1)(x/(sqrt(1-x^2))) with respect to sin^(...

    Text Solution

    |

  17. Differentiate sin^(-1)sqrt(1-x^2) with respect to . if 0<x<1.

    Text Solution

    |

  18. If ysqrt(x^2+1)=log(sqrt(x^2+)1-x),show that" " (x^2+1)(dy)/(dx)+x y+1...

    Text Solution

    |

  19. If e^x+e^y=e^(x+y) , prove that (dy)/(dx)=-(e^x(e^y-1))/(e^y(e^x-1)) o...

    Text Solution

    |

  20. If y=xsin(a+y),prove that (dy)/(dx)=(sin^2(a+y))/(sin(a+y)-ycos(a+y))d...

    Text Solution

    |