Home
Class 12
MATHS
Find (dy)/(dx) in each of the followi...

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

A

`(12y-16x+4)/(12x-9y+3)`

B

`(12y+16x+4)/(12x-9y+3)`

C

`(12y-16x+4)/(12x+9y+3)`

D

`(12y+16x+4)/(12x+9y+3)`

Text Solution

Verified by Experts

The correct Answer is:
A


`4 x+3 y=log (4 x-3 y)`

Differentiating w.r.t. `x`, we get,

`4+3 frac{d y}{d x}=frac{1}{4 x-3 y}(4-3 frac{d y}{d 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

Find (dy)/(dx) in each of the following: e^(x-y)=log((x)/(y))

Find (dy)/(dx) in the following: 2x+3y=sin y

Find (dy)/(dx) in the following 2x + 3y = sin x

Find each of the following products : (9x + 5y) xx (4x + 3y)

Find the each of the following products: (9x + 5y)(4x + 3y)

Find (dy)/(dx) , if y =(log x)^(x) + (x)^(log x)

find (dy)/(dx) if y=2(3x-2),x=4

Find (dy)/(dx) as a function of x y = (4-3x)^(9)

Find dy/dx for the following functions: y=5x^4 + 3 x^(3/2) + 6x .

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate the following functions with respect to (x^2+2)/(sqrt...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Differentiate the following function with respect to x : cos^(-1){(x+...

    Text Solution

    |

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

    Text Solution

    |

  8. Differentiate the following function with respect to x : t a n^(-1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Differentiate the following functions with respect to 3^{x^2}+2x

    Text Solution

    |

  12. Differentiate the following function from first principles: e^(3x)

    Text Solution

    |

  13. Differentiate the following functions with respect to 3^{e^x}

    Text Solution

    |

  14. Differentiate the following function with respect to x : sin ^{-1}{...

    Text Solution

    |

  15. Differentiate the following functions with respect to sqrt((1-x^2)/...

    Text Solution

    |

  16. Differentiate the following functions with respect to e^(tanx)

    Text Solution

    |

  17. Differentiate the following function sin^(-1)(x/(x^2+a^2))

    Text Solution

    |

  18. If y=sqrt(logx+sqrt(cosx+sqrt(cosx+...tooo))), prove that (dy)/(dx)...

    Text Solution

    |

  19. If y=(sinx)^((sinx)^((sinx)^(...^infty))) , prove that (dy)/(dx)=(y^...

    Text Solution

    |

  20. Differentiate the following function from first principles: logcosx

    Text Solution

    |