Home
Class 12
MATHS
If y= (xcos x) ^(x) +(xsin x)^((1)/(x))...

If ` y= (xcos x) ^(x) +(xsin x)^((1)/(x)),then (dy)/(dx) =`

A

` (xcos x)^(x) (1+ xtan x + log (xcos x ))+((xsinx )^((1)/( x)))/( x^(2)) (1+xcot x +log (xsin x)) `

B

` (xcos x)^(x) (1- xtan x + log (xcos x ))+((xsinx )^((1)/( x)))/( x^(2)) (1+xcot x +log (xsin x)) `

C

` (xcos x)^(x) (1- xtan x + log (xcos x ))+((xsinx )^((1)/( x)))/( x^(2)) (1+xcot x -log (xsin x)) `

D

` (xcos x)^(x) (1+ xtan x + log (xcos x ))+((xsinx )^((1)/( x)))/( x^(2)) (1+xcot x -log (xsin x)) `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

If y= x^((1)/(x)) ,then (dy)/(dx)=

If y= 7^(x+(1)/(x) ),then (dy)/(dx) =

If y=(xcos x-sin x)^(x) ,then (dy)/(dx) =

y=(1+x)/(1-x) then (dy)/(dx)

If y= sqrt (x+(1)/( x) ),then (dy)/(dx) =

If y= 5^(e^(xsin x )), then (dy)/(dx) =

If y=x^(tan ^(-1)x) ,then (dy)/(dx)=

If y=x+(1)/(x+y)," then: "(dy)/(dx)=

If y=(1+1/x)^x,then(dy)/(dx)=

" 4.If "y=x+(1)/(x)," then "(dy)/(dx)=