Home
Class 12
MATHS
Find (dy)/(dx), when x=a(theta+sintheta)...

Find `(dy)/(dx),` when `x=a(theta+sintheta)a n dy=a(1-costheta)`

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) given the equations \(x = a(\theta + \sin \theta)\) and \(y = a(1 - \cos \theta)\), we can follow these steps: ### Step 1: Differentiate \(x\) with respect to \(\theta\) We start with the equation for \(x\): \[ x = a(\theta + \sin \theta) \] ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx)ifx=a(theta-sintheta)a n dy=a(1-costheta)dot

Find (dy)/(dx)ifx=a(theta-sintheta) and y=a(1-costheta)dot

"Find "(dy)/(dx) if x =a(theta- sin theta) and y= a (1- cos theta).

If x and y are connected parametrically by the equations given, without eliminating the parameter, Find (dy)/(dx) . x=a(theta-sintheta), y=a(1+costheta)

Find (dy)/(dx) , if x=a(theta+sintheta), y=1(1-costheta) .

Find (dy)/(dx),w h e n x=e^(theta)(theta+1/theta)a n dy=e^(-theta)(theta-1/theta)

Find (dy)/(dx), when x=a e^(theta)(sintheta-costheta),y=a e^(theta)(sintheta+costheta)

Find (dy)/(dx) , when x=e^(theta)(theta+1/theta) and y=e^(-theta)(theta-1/theta)

If x=a(theta-sintheta) , y=a(1+costheta) find (d^2y)/(dx^2)

Find (dy)/(dx) , when x=b\ sin^2theta and y=a\ cos^2theta

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Find (dy)/(dx), when x=(e^t+e^(-t))/2 \ a n d \ y=(e^t-e^(-t))/2

    Text Solution

    |

  2. Find (dy)/(dx), when x=a e^(theta)(sintheta-costheta),y=a e^(theta)(si...

    Text Solution

    |

  3. Find (dy)/(dx), when x=a(theta+sintheta)a n dy=a(1-costheta)

    Text Solution

    |

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

    Text Solution

    |

  5. Find (dy)/(dx), when x=(3a t)/(1+t^2)" and "y =(3a t^2)/(1+t^2)

    Text Solution

    |

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

    Text Solution

    |

  7. Find (dy)/(dx), y=e^x+10^x+x^x

    Text Solution

    |

  8. Differentiate the following function with respect to x : tan^(-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:sin(x^x)

    Text Solution

    |

  11. Differentiate the following function with respect to x : (logx)^(logx)

    Text Solution

    |

  12. Differentiate the following function with respect to x: 10^(logsin...

    Text Solution

    |

  13. If y=logsqrt((1+tanx)/(1-tanx)),"Prove that " (dy)/(dx)=sec2x

    Text Solution

    |

  14. If y=log(sqrt(x)+sqrt(1/x)), prove that (dy)/(dx)=(x-1)/(2x(x+1))

    Text Solution

    |

  15. If y=x/(x+2) , prove that x(dy)/(dx)=(1-y)y

    Text Solution

    |

  16. Find (dy)/(dx), y=(sinx)^(cosx)+(cosx)^(sinx)

    Text Solution

    |

  17. If y=(x-1)log(x-1)-(x+1)log(x+1), prove : (dy)/(dx)=log((x-1)/(1+x))

    Text Solution

    |

  18. If y=(e^x-e^(-x))/(e^x+e^(-x)) , prove that (dy)/(dx)=1-y^2

    Text Solution

    |

  19. If y=(xsin^(-1)x)/(sqrt(1-x^2)),"p r o v et h a t"(1-x^2)(dy)/(dx)=x+...

    Text Solution

    |

  20. Differentiate the following function tan^2x

    Text Solution

    |