Home
Class 12
MATHS
If y=x^(sqrt(x)) find dy /dx...

If `y=x^(sqrt(x))` find `dy /dx`

A

`(2+logx)/(2sqrt(x))`

B

`x^(sqrt(x))[(2+logx)/(sqrt(x))]`

C

`x^(sqrt(x))[(2+logx)/(2sqrt(x))]`

D

`x^(sqrt(x))[(1+logx)/(2sqrt(x))]`

Text Solution

Verified by Experts

The correct Answer is:
C
`x^(sqrt(x))[(2+logx)/(2sqrt(x))]`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for Practice (Differentiate)|4 Videos

  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple Choice Questions|15 Videos

Similar Questions

Explore conceptually related problems

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

x=sinsqrt(t),y=e^(sqrt(t)) find dy/dx

y= sec sqrt(x) . Find dy/dx

If y=sqrt(e^sqrt(x)) then find (dy)/(dx)

If y = x^sqrt(x) , "then "(dy)/(dx) is equal to

y=sqrt(tan(tan x)) Find dy/dx

sqrt(x) sin x+sin sqrt(x) find dy/dx

y=sqrt(x+sqrt(x+sqrt(x)...)) find dy/dx

If y=x^sqrt(x)+(sqrtx)^x then find (dy)/(dx)

If y=sqrt((1-x)/(1+x)), find (dy)/(dx) and prove that (1-x^(2))(dy)/(dx)+y=0