If `y=A sin(omegat-kx),` then the value of `(d^2y)/(dt^2)/(d^2y)/(dx^2)`

If x= cos t+ log tan t/2 and y = sin t, then find the value of (d^2y)/(dt^2) and (d^2y)/(dx^2) at t= (pi)/4 .

If x=cos t + (log tant)/2, y=sin t, then find the value of (d^2y)/(dt^2) and (d^2y)/(dx^2)  at t =pi/4.

If x=cost+logtan(t/2),\ \ y=sint , then find the value of (d^2y)/(dt^2) and (d^2y)/(dx^2) at t=pi/4 .

If y=tanx, then the value of (d^2y)/(dx^2) is-

If x=cos t+(log tan t)/(2),y=sin t, then find the value of (d^(2)y)/(dt^(2)) and (d^(2)y)/(dx^(2)) at t=(pi)/(4)

If y^2=4ax then the value of (d^2y)/(dx^2) is-

If x=cos t+(log tan t)/(2),y=sin t, then find the value of (d^(2)y)/(dt^(2)) and (d^(2)y)/(dx^(2))a=(pi)/(4)

If y^(2)=4ax , then the value of (d^(2)y)/(dx^(2))*(d^(2)x)/(dy^(2)) is -

If y=(sin^-1x)^2 , find the value of (1-x^2)(d^2y)/(dx^2)-xdy/dx+4

if y=ae^(x)+be^(-3x)+c , then the value of ((d^(3)y)/(dx^(3))+2(d^(2)y)/(dx^(2)))/((dy)/(dx)) is