Home
Class 12
MATHS
Find (dy)/(dx) if x^y = y^x....

Find `(dy)/(dx)` if `x^y = y^x`.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER-3

    SHARAM PUBLICATION|Exercise EXERCISE|43 Videos
  • MODEL QUESTION PAPER-5

    SHARAM PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if y = x^x + (sinx)^x .

Find (dy)/(dx) when y=x^y .

Find (dy)/(dx) if x=y^x + tan^(-1)x .

Find (dy)/(dx) if y = logtan^(-1)x+e^(2x) .

Find (dy)/(dx) when x^y+y^x=a^b

Find dy/dx if x^y = c

Find dy/dx if y^2 = x^y

Find dy/dx if y^x =c

Find (dy)/(dx) when y^x = e^(x-y) .

Find dy/dx if x^m y^n = (x/y)^(m+n)

SHARAM PUBLICATION-MODEL QUESTION PAPER-4-EXERCISE
  1. Find the equation of planes passing throught the points (1,2,3),(1,-4,...

    Text Solution

    |

  2. If A and B are square matrices of same order, then show by means of an...

    Text Solution

    |

  3. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

    Text Solution

    |

  4. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

    Text Solution

    |

  5. Find the inverse of [(2,-1),(1,3)].

    Text Solution

    |

  6. Evaluate int tan^-1 sqrt((1-x)/(1+x))dx

    Text Solution

    |

  7. Evaluate int (e^x-1)/(e^x+1) dx

    Text Solution

    |

  8. Evaluate int(0)^(pi//4)log(1+tanx)dx.

    Text Solution

    |

  9. Find the area of the region bounded by the curve y=6x-x^(2), the X-axi...

    Text Solution

    |

  10. Solve the following differential equations x log x (dy)/(dx)+y= 2 lo...

    Text Solution

    |

  11. Find the value of k so that the function f defined by f(x)={((kcos x)/...

    Text Solution

    |

  12. Find (dy)/(dx) if x^y = y^x.

    Text Solution

    |

  13. Show that the rectangle of maximum area that can be inscribed in a giv...

    Text Solution

    |

  14. Evaluate int0^ pi x/(1+ sin x) dx

    Text Solution

    |

  15. Find the area of region in the first quadrant enclosed by the X-axis, ...

    Text Solution

    |

  16. Solve the following differential equation (2x + y + 1) dx + (4x + 2y —...

    Text Solution

    |

  17. Show that f : N to N, given by f(x)= {(x+1", if x is odd"),(x-1", if...

    Text Solution

    |

  18. If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I

    Text Solution

    |

  19. If a, b and c are all positive real, then prove that minimum value of ...

    Text Solution

    |

  20. Three vectors veca, vecb and vecc satisfy the condition veca + vecb + ...

    Text Solution

    |