If `x=a cos^(2)theta,y=b sin^(2)theta` find `(d^2y)/dx^2`

If x=acos^3theta,y=a sin^3theta then find (d^2y)/(dx^(2))

If x = a cos^(2) theta, y = b sin^(2) theta " then "(dy)/(dx)= ?

If x=a cos theta,y=b sin theta, then (d^(2)y)/(dx^(2)) when theta=(pi)/(4) is given by

x=b sin^(2)theta & y=a cos^(2)theta

x=a cos theta,y=b sin theta then find dy/dx

Find the blanks. (i) If x=a cos^(3)theta,y=b sin^(3)theta then ((x)/(a))^(2/3)+((y)/(b))^(2/3)=ul(P) (ii) if x=a sec theta cos phi,y=b sec theta sin phi and z=c tan theta then (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=ul(Q) (iii) If cos A+cos^(2)A=1 ,then sin^(2)A+sin^(4)A=ul(R)

If x = a cos theta and y = b sin theta , find (dy)/(dx)

If x=a cos theta,y=b sin theta, show that (d^(2)y)/(dx^(2))=-(b^(4))/(a^(2)y^(3))

If x = sin theta, y = sin^(3) theta then (d^(2)y)/(dx^(2)) at theta = (pi)/(2) is …….

If x=a sec theta , y=b tan theta find (d^2 y )/( dx^2) at x = (pi )/( 6)