Home
Class 11
PHYSICS
If y=sinx/(1+cosx) then (dy)/(dx)=...

If `y=sinx/(1+cosx)` then `(dy)/(dx)=`

A

(1)/(1+sin x)

B

(sinx)/(1+cos x)

C

`(1)/(1+cos x)`

D

(1)/(1+sin x)

Text Solution

Verified by Experts

The correct Answer is:
C
Using the theorem
`(d)/(dx)((u)/(v))=(v(du)/(dx)-u(dv)/(dx))/(v^(2))`
`(dy)/(dx)=(d)/(dx)((sinx)/(1+cosx))`
`=((1+cosx)(d)/(dx)(sinx)-(sinx)(d)/(dx)(1+cosx))/((1+cosx)^(2))`
`=((1+cosx)(cos x)-sinx(0-sin x))/((1+cos x)^(2))`
`=(cos x+cos^(2)x+sin^(2)x)/((1+cosx)^(2))`
`=(cos x+1)/((1+cosx)^(2))`
`=(1)/((1+cos x)^(2))`
`=(1)/(1+cos x).`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (1)|3 Videos

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (2)|7 Videos

  • GRAVITATION

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Chapter Practise Test|16 Videos

Similar Questions

Explore conceptually related problems

If y=log(sinx-cosx) , then (dy)/(dx) at x=(pi)/(2) is :

If y=sinx and u=cosx, then (dy)/(du) is equal to

If y=(cosx)^((cosx)) then (dy)/(dx) is equal to :

If y=(sinx)/(x+cosx) , then find (dy)/(dx) .

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

If y=e^(sinx) then (dy)/(dx)=

If y=log_(cosx)sinx, then (dy)/(dx) is equal to

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

if y=(sinx+cosx)/(sinx-cosx) , then (dy)/(dx) at x=0 is equal to

If y=|cosx|+|sinx| , then (dy)/(dx)" at "x=(2pi)/(3) is