A3.5

solve problems, using the product and chain rules, involving the derivatives of polynomial functions, sinusoidal functions, exponential functions, rational functions [e.g., by expressing $f(x)=\frac{x^2+1}{x-1}$ as the product $f(x)=(x^2+1)(x-1{)}^{-1}$], radical functions [e.g., by expressing $f(x)=\sqrt{x^2+5}$ as the power $f(x)=(x^2+5{)}^{1/2}$], and other simple combinations of functions [e.g., $f(x)=x\sin x$, $f(x)=\frac{\sin x}{\cos x}$]*