Home
Class 12
MATHS
Find (dy)/(dx), when x=(e^t+e^(-t))/2 \ ...

Find `(dy)/(dx),` when `x=(e^t+e^(-t))/2 \ a n d \ y=(e^t-e^(-t))/2`

Text Solution

AI Generated Solution

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) , when x=a t^2 and y=2\ a t

Find (dy)/(dx) , when x=(2t)/(1+t^2) and y=(1-t^2)/(1+t^2)

Find (dy)/(dx) , when x=(1-t^2)/(1+t^2) and y=(2t)/(1+t^2)

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

Find the eccentricity of the hyperbola given by equations x=(e^t+e^(-t))/2 and y=(e^t-e^(-t))/3,t in R .

Find the eccentricity of the hyperbola given by equations x=(e^t+e^(-1))/2a n dy=(e^t-e^(-1))/3,t in Rdot

Find (dy)/(dx) , if x=a t^2, y=2a t .

find (dy)/(dx) , when y = sin u ,, u = e^(sqrt t) and t = log x

If x=(e^(t)+e^(-t))/(2),y=(e^(t)-e^(-t))/(2)," then: "(dy)/(dx)=

if the differential equation of a curve, passing through (0,-(pi)/(4)) and (t,0) is cosy((dy)/(dx)+e^(-x))+siny(e^(-x)-(dy)/(dx))=e^(e^(-x)) then find the value of t.e^(e^(-1))

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate the following function with respect to x : tan^(-1)(...

    Text Solution

    |

  2. If y=cot^(-1){(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))}...

    Text Solution

    |

  3. Find (dy)/(dx), when x=(e^t+e^(-t))/2 \ a n d \ y=(e^t-e^(-t))/2

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Differentiate the following function with respect to x:sin(x^x)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |