Home
Class 11
MATHS
If y=sqrt(((1+cosx)/2)), prove that (dy...

If `y=sqrt(((1+cosx)/2)),` prove that `(dy)/(dx)=- 1/2 (sin) x/2.`

Promotional Banner

Similar Questions

Explore conceptually related problems

Ify,=sqrt(((1+cos x)/(2))), provethat (dy)/(dx)=-(1)/(2)(sin x)/(2) If y,=sqrt((1+sin x)/(1-sin x)), prove that cos x(dy)/(dx)=y

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

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

If x=sqrt(a^(sin^(-1)t)) then prove that (dy)/(dx)=(-y)/(x)

If y=sqrt(cosx+sqrt(cosx+sqrt(cosx+...tooo))), prove that (dy)/(dx)=(sinx)/(1-2y)

If y=sqrt(cosx+sqrt(cosx+sqrt(cosx+...tooo))), prove that (dy)/(dx)=(sinx)/(1-2y)

If y=sqrt(cosx+sqrt(cosx+sqrt(cosx+\ dotto\ oo))) , prove that (dy)/(dx)=(sinx)/(1-2y) .

If y=sqrt(cosx+sqrt(cosx+sqrt(cosx+...tooo))), prove that (dy)/(dx)=(sinx)/(1-2y)

If y=x\ sin^(-1)x+sqrt(1-x^2) , prove that (dy)/(dx)=sin^(-1)x

If y=sqrt(x+sqrt(x+sqrt(x+…… prove that (dy)/(dx)=1/(2y-1)