Home
Class 12
MATHS
Find (dy)/(dx) if y=cos sqrt(x+2)...

Find (dy)/(dx) if
`y=cos sqrt(x+2)`

Text Solution

Verified by Experts

`y=cossqrt(x+2)=cost`, where `t=sqrt(x+2)=sqrtp` where p=x+2
`thereforedy/dx=dy/dt.dt/(dp).(dp)/dx`
`d/dt(cost).d/(dp)(sqrtp).d/dx(x+2)`
`=(-sint).1/(2sqrtp).1`
`-(sinsqrt(x+2))/(2sqrt(x+2))`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|51 Videos

  • FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|115 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if y=e^(sqrt(x))*log(cos sqrt(x))

Find (dy)/(dx) , when y=sqrt(x)

Find (dy)/(dx), if y=(sqrt(sin x))/(sin sqrt(x))

Find the (dy)/(dx) of y=cos^(-1){sqrt((1+x)/2)}

Find the (dy)/(dx) of y=cos^(-1)sqrt((1+x^2)/2)

Find the (dy)/(dx) of y=cos^(-1)sqrt((1+cosx)/2)

Find (dy)/(dx) for y=log(x+sqrt(a^(2)+x^(2)))