Home
Class 12
MATHS
If x^(logx ) = y^(x) and (dy)/(dx) = (2y...

If `x^(logx ) = y^(x) and (dy)/(dx) = (2y log x+ k log y)/(x^(2))`, then `k=`

A

`-xy`

B

`2x`

C

`-2x`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 10

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • MODEL TEST PAPER 4

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos

Similar Questions

Explore conceptually related problems

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

If y = (log)^(cos x) find (dy)/(dx) .

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

If y = 2^(log x) , then (dy)/(dx) is

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

If y= log (sin x)," find "(dy)/(dx) .

If y = log_(7)(logx) find (dy)/(dx) .

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

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

If x = e^(x/y) , prove that (dy)/(dx) = (x-y)/(x log x) .

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 3-(MATHEMATICS)
  1. f(x) = (2x^(2) + 3)/(5), for oo lt x le 1 = 6 -5x, for 1 lt x lt 3 ...

    Text Solution

    |

  2. (d)/(dx) [ 2 cot^(-1) ((sqrt(1+ sin x) + sqrt(1-sin x))/(sqrt(1+ sin x...

    Text Solution

    |

  3. If x^(logx ) = y^(x) and (dy)/(dx) = (2y log x+ k log y)/(x^(2)), then...

    Text Solution

    |

  4. The value of differentiation of tan^(-1)x with respect to tan^(-1) ((s...

    Text Solution

    |

  5. The sub normals at any point of the curve y = x^(n) is constant. Then ...

    Text Solution

    |

  6. The percentage increase in the volume of the cube when its side increa...

    Text Solution

    |

  7. The period T and length l are increasing at the same rate is T = 2pi s...

    Text Solution

    |

  8. int (dt)/((e^(t) + e^(-t))^(2)) =

    Text Solution

    |

  9. int e^(t) ((t)/(1+t^2))dt=

    Text Solution

    |

  10. int 9^(9^(9^(x))) dx is equal to

    Text Solution

    |

  11. int (dx)/(cos (x -a) cos (x-b) )= (1)/(p) log q, then (p, q)=

    Text Solution

    |

  12. Area of the region bounded by the curves y = sqrt(5 - x^(2)) and y = |...

    Text Solution

    |

  13. underset ( x to oo) (lim) underset(r=1)overset(n-1) (sum) sqrt((n+r)/(...

    Text Solution

    |

  14. If bar(a) = 3 overset(^)(i) + 2 overset(^)(j), bar(b) = 2 overset(^)(i...

    Text Solution

    |

  15. The projection of the vector overset(^)(i) - 2 overset(^)(j) + overse...

    Text Solution

    |

  16. If theta is the angle between the vectors overset(^)(i) + overset(^)(j...

    Text Solution

    |

  17. The non-zero vectors bar(a) , bar(b) , bar(c ) holds | (bar(a) .bar(b...

    Text Solution

    |

  18. If bar(a) = overset(^)(i) + overset(^)(j) - overset(^)(k), bar(b) = 2 ...

    Text Solution

    |

  19. The value of (sec x + tan x -1)/(tan x - sec x +1), if cosec 2x =2 is

    Text Solution

    |

  20. The value of cosec 20^(@).cosec40^(@).cosec60^(@).cosec80^(@) is

    Text Solution

    |