Home
Class 12
MATHS
If tan(x+y)+tan(x-y)=1 , find (dy)/(dx) ...

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

Text Solution

AI Generated Solution

To solve the equation \( \tan(x+y) + \tan(x-y) = 1 \) and find \( \frac{dy}{dx} \), we will differentiate both sides with respect to \( x \). Let's go through the steps one by one. ### Step 1: Differentiate both sides We start with the equation: \[ \tan(x+y) + \tan(x-y) = 1 \] Differentiating both sides with respect to \( x \): ...
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 x+y=tan^(-1)(xy), find (dy)/(dx)

y=(x^(2)+1)tan^(-l)x find (dy)/(dx)

y=x^(tan(x))+(tan x)^(x) , find (dy)/(dx)

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

If x=tan^(-1)t, and y=t^(3), find (dy)/(dx)

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

y^(2)+xy=tan(x+y) then find (dy)/(dx)=?

If y=x^(tan x)+(tan x)^(x) , then find (dy)/(dx)

If y=e^((tan^(-1)x)^(3) then find (dy)/(dx)

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. If ysqrt(x^2+1)=log(sqrt(x^2+)1-x),s howt h a t(x^2+1)(dy)/(dx)+x y+1=...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. 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

    |

  5. If cosy=xcos(a+y) , with cosa!=+-1 , prove that (dy)/(dx)=(cos^2(a+y))...

    Text Solution

    |

  6. If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),f...

    Text Solution

    |

  7. If sqrt(y+x) +sqrt(y-x) =c show that dy/dx = y/x -sqrt((y^2/x^2)-1)

    Text Solution

    |

  8. Differentiate the following functions with respect to x : (I)x^x (ii...

    Text Solution

    |

  9. Differentiate (sinx)^(logx) with respect to x :

    Text Solution

    |

  10. Differentiate (cosx)^x with respect to x :

    Text Solution

    |

  11. Differentiate x^(sqrt(x)) with respect to x :

    Text Solution

    |

  12. Differentiate x^(x^x) + (logx)^(sinx) with respect to x :

    Text Solution

    |

  13. Differentiate (sinx)^(cosx) with respect to x :

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Differentiate (x)^(x^x) with respect to x :

    Text Solution

    |

  17. Differentiate (x^x)^x with respect to x :

    Text Solution

    |

  18. If y=(sinx)^(tanx)+(cosx)^(secx) , find (dy)/(dx)

    Text Solution

    |

  19. Differentiate: (logx)^x+x^(logx) with respect to xdot

    Text Solution

    |

  20. Differentiate x^(cotx)+(2x^2-3)/(x^2+x+2) with respect to x .

    Text Solution

    |