解:y=f(t),t=g(x)dy/dx=dy/dtxdt/dx答:dy/dx=dy/dtxdt/dx。比如y=2^(x^2-2x)令t=x^2-2xy=2^tdy/dx=dy/dtxdt/dx=2^tln2x(2x-2)=2^(x^2-2x)ln2x2(x-1)=2^(x2-2x+1)(x-1)ln2答:dy/dx=2^(x2-2x+1)(x-1)ln2.