Home
Class 12
MATHS
If y=sin^(-1)x+cos^(-1)x ,\ find (dy)/(...

If `y=sin^(-1)x+cos^(-1)x ,\ ` find `(dy)/(dx)` .

Text Solution

AI Generated Solution

To find the derivative \( \frac{dy}{dx} \) for the function \( y = \sin^{-1}x + \cos^{-1}x \), we can follow these steps: ### Step 1: Differentiate the function We start by differentiating \( y \) with respect to \( x \): \[ \frac{dy}{dx} = \frac{d}{dx}(\sin^{-1}x) + \frac{d}{dx}(\cos^{-1}x) \] ...
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

If y=sin^(-1)""(1)/(x) , find (dy)/(dx) .

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

If y=tan^(-1)((cos x)/(1+sin x)), find (dy)/(dx)

If y=cos^(-1)(1-2sin^(2)x)," find "(dy)/(dx)

If cos(x+y)=y sin x, find (dy)/(dx).

If y=(sin x)/(x+cos x) , then find (dy)/(dx) .

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

If x cos y=sin(x+y), find (dy)/(dx)

If y = sin (x + a ) / cos x then find (dy)/(dx)

if y=cos^(-1)((1-x)/(1+x)) then find (dy)/(dx)

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. If f(0)=f(1)=0 , f^(prime)(1)=f^(prime)(0)=2 and y=f(e^x)e^(f(x)) , wr...

    Text Solution

    |

  2. If y=x|x| , find (dy)/(dx) for x<0 .

    Text Solution

    |

  3. If y=sin^(-1)x+cos^(-1)x ,\ find (dy)/(dx) .

    Text Solution

    |

  4. If x=a(theta+sintheta),\ \ y=a(1+costheta) , find (dy)/(dx) .

    Text Solution

    |

  5. If pi/2 < x < 0 andy=tan^(-1)sqrt((1-cos2x)/(1+cos2x)) . find (dy)/(dx...

    Text Solution

    |

  6. If y=x^x , find (dy)/(dx) at x=e .

    Text Solution

    |

  7. If y=tan^(-1)((1-x)/(1+x)) , find (dy)/(dx) .

    Text Solution

    |

  8. If y=(log)a x , find (dy)/(dx) .

    Text Solution

    |

  9. If y=logsqrt(tanx) , write (dy)/(dx) .

    Text Solution

    |

  10. If y=sin^(-1)((1-x^2)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , find (dy)/(...

    Text Solution

    |

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

    Text Solution

    |

  12. If |x|<1 and y=1+x+x^2+....... oo , then find the value of (dy)/(dx)...

    Text Solution

    |

  13. If u=sin^(-1)((2x)/(1+x^2)) and v=tan^(-1)((2x)/(1-x^2)) , where -1 < ...

    Text Solution

    |

  14. If f(x)=log{(u(x))/(v(x))},\ u(1)=v(1) and u^(prime)(1)=v^(prime)(1)=2...

    Text Solution

    |

  15. If y=log(3x),\ \ x!=0 , find (dy)/(dx) .

    Text Solution

    |

  16. If f(x) is an even function, then write whether f^(prime)(x) is eve...

    Text Solution

    |

  17. If f(x) is an odd function, then write whether f^(prime)(x) is even...

    Text Solution

    |

  18. Write the derivative of sinx with respect to cosx .

    Text Solution

    |

  19. If f(x)=(log)(x^2)(logx) , then f^(prime)(x) at x=e is (a) 0 (b) 1 (c)...

    Text Solution

    |

  20. The differential coefficient of f(logx) with respect to x , where f(...

    Text Solution

    |