4) Derivatives

1) Derivative of a function

> restart;

> g:=(x^2-1)^2/sqrt(x^2+1);

> diff(g,x);

> simplify(%);

Implicit Differentiation

> 3*x^2-x^2*y(x)^3+4*y(x)=12;

> map(diff,%,x);

> yprime:=solve(%,diff(y(x),x));