Find the derivative of the function y determined by the parametric equation {x = 1-T ^ 2, y = T-T ^ 3}

Find the derivative of the function y determined by the parametric equation {x = 1-T ^ 2, y = T-T ^ 3}

Solution; dy / dt = 1-2T & # 178; DX / dt = - 2T
∴dy/dx=t-1/2t
∵x=1-t²
∴t=√(1-x)
∴dy/dx=√(1-x)-1/2√(1-x)