Home
Class 12
MATHS
If e^(x-y)=x^y then prove that dy/dx=log...

If `e^(x-y)=x^y` then prove that `dy/dx=logx/[logex]^2`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|128 Videos
  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

Similar Questions

Explore conceptually related problems

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

Solve dy/dx+y/x=logx .

If y=sin 2x , Prove that dy/dx=2cos2x

If xsqrt(1+y)=sqrtx , prove that dy/dx= -1/(x^2)

If y=x^(x^x) . Prove that logy=x^x(logx)

If e^y(x+1)=1 . Show that dy/dx=-e^y

sin(xy)+x/y=x^2-y. Evaluate dy/dx

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Using properties of determinants prove the following. abs[[1,x,x^2...

    Text Solution

    |

  2. Find all points of discontinuity of f where f is defined by f(x)={(2x+...

    Text Solution

    |

  3. If e^(x-y)=x^y then prove that dy/dx=logx/[logex]^2

    Text Solution

    |

  4. The slope of the tangent to the curve given x=1-costheta,y=theta-sin...

    Text Solution

    |

  5. Find the intervals in which the function f(x)=x^2-4x+6 is strictly dec...

    Text Solution

    |

  6. Find the minimum and maximum value, if any, of the function f(x)=(2x-1...

    Text Solution

    |

  7. Which of the following function has neither local maxima nor local min...

    Text Solution

    |

  8. Find the equation of the tangent to the curve y=3x^2 at (1,1)

    Text Solution

    |

  9. Use differentiation to approximate sqrt36.6.

    Text Solution

    |

  10. The angle between the vectors veca and vecb such that absveca=absvecb=...

    Text Solution

    |

  11. Find the unit vector along veca-vecb where veca=i+3j-k and vecb=3i+2j+...

    Text Solution

    |

  12. If the points A and B are (1,2,-1) and (2,1,-1) respectively, then vec...

    Text Solution

    |

  13. Find the value of lambda for which the vectors 2i-4j+5k, i-lambdaj+k ...

    Text Solution

    |

  14. Find the angle between the vectors veca=hati+hatj-hatk and vecb=hati-h...

    Text Solution

    |

  15. Prove that int cos^2xdx=x/2+(sin2x)/4+c

    Text Solution

    |

  16. Find int 1/sqrt(2x-x^2)dx

    Text Solution

    |

  17. Find int xcosxdx

    Text Solution

    |

  18. Evaluateint0^pilog(1+cosx)dx

    Text Solution

    |

  19. Find int0^5(x+1)dx as limit of a sum.

    Text Solution

    |

  20. The area bounded by the curve above the x-axis, between x = a and x = ...

    Text Solution

    |