" 4.If "y=(d^(2)y)/(dx^(2))=(cos x)/((1-sin x)^(2))

If x=a(theta+sin theta),y=a(1+cos theta), prove that (d^(2)y)/(dx^(2))=-(a)/(y^(2))

If y=(cos x-sin x)/(cos x+sin x) then ((d^(2)y)/(dx^(2)))/((dy)/(dx))=

If y=e^(-x)cos x, show that (d^(2)y)/(dx^(2))=2e^(-1)sin x

If y=sin(sin x), prove that (d^(2)y)/(dx^(2))+tan x(dy)/(dx)+y cos^(2)x=0

If y= sin (sin x) then show that, (d^(2)y)/(dx^(2)) + (tan x) (dy)/(dx) + y cos^(2)x = 0

If y= e^(tan x) then show that, (cos^(2)x) (d^(2)y)/(dx^(2))- (1+ sin 2x) (dy)/(dx)=0

If y=sin(sin x), prove that (d^(2)y)/(dx^(2))+tan x(dy)/(dx)cos^(2)x=0

If y=x^(n){a cos(log x)+b sin(log x)}, prove that x^(2)(d^(2)y)/(dx^(2))+(1-2n)(dy)/(dx)+(1+n^(2))y=0

If y=(sin^(-1)x)^(2)+(cos^(-1)x)^(2), then (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx) is equal to 4(b)3(c)1(d)0

If y=cos^(-1)((1)/(2sin x)) then (d^(2)y)/(dx^(2)) at ((pi)/(4),(pi)/(4)) is