Home
Class 12
MATHS
If y= (sin x )^(x)+ log x + (logx) ^(ta...

If ` y= (sin x )^(x)+ log x + (logx) ^(tan x) +x^(a) ,then (dy)/(dx) =`

A

`(sin x)^(x) ( log (sin x)+xcotx )+(1)/( x) +(logx )^(tan x) (sec^(2) x.log (logx ) -(tanx )/( xlogx) )+ ax^(a -1 )`

B

`(sin x)^(x) ( log (sin x)+xcotx )+(1)/( x) +(logx )^(tan x) (sec^(2) x.log (logx ) + (tanx )/( xlogx) )+ ax^(a -1) `

C

`(sin x)^(x) ( log (sin x)+xcotx )+(1)/( x) +(logx )^(tan x) (sec^(2) x.log (logx ) - (tanx )/( logx) )+ ax^(a -1) `

D

`(sin x)^(x) ( log (sin x)+xcotx )+(1)/( x) +(logx )^(tan x) (sec^(2) x.log (logx ) + (tanx )/( logx) )+ ax^(a -1) `

Text Solution

Verified by Experts

The correct Answer is:
B
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=(logx )^(sin x ) ,then (dy)/(dx) =

If y= log (secx+tan x ) ,then (dy)/(dx)

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

If y=log (sin x +cos x ) ,then (dy)/(dx)

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

If y= ( log sin x) (logx ) ,then (dy)/(dx)

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

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

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