If `y=5cos x-3sin x`,then`(d^(2)y)/(dx^(2))` is equal to
(a) `-y`
(b) `y`
(c) `25y`
(d) `9y`

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

y=x*cos x then find (d^2y)/(dx^(2)) .

If y = 5 cos x-3 s in x , prove that (d^2y)/(dx^2)+y=0

If y=sin(log_(e)x) , then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx) is equal to

if y = sin 2x , " then " (d^(6)y)/(dx^(6)) " at" x = pi/2 is equal to

If y=cos^(-1)(cosx),t h e n(dy)/(dx) is equal to x/y (b) y/(x^2) (x^2-y^2)/(x^2+y^2) (d) y/x

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

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

If y=sin(m\ sin^(-1)x) , then (1-x^2)y_2-x y_1 is equal to m^2y (b) m y (c) -m^2y (d) none of these

If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga ,t h e n(dy)/(dx) is equal to (a) x/y (b) y/(x^2) (C) (x^2-y^2)/(x^2+y^2) (d) y/x