Question

matlab 参数方程x=1-t^2,y=t-t^3,画出图形,求导数d^2y/dx^2,并求所示点点二阶导数 t=√2

Answer 1

syms t

x=1-t^2;y=t-t^3;

dy=diff(y)/diff(x);

dyy=diff(dy)/diff(x);

dyy=simplify(dyy) % d^2y/dx^2

ezplot(x,y,[-1.5 1.5])

subs(dyy,sym(sqrt(2)/2)) %t=√2 /2处,二阶导数值