Chapter 14.6, Problem 17E

To determine

(a)

Show that $g\text{'}(x)=\frac{\partial f}{\partial x}+\frac{\partial f}{\partial y}y\text{'}(x)$.

To determine

(b)

To compute $g^{\prime }\left(x\right)$ for given functions of $f\left(x,y\left(x\right)\right)$ and y(x).

To determine

(c)

To compute g’(x) for given functions of $f\left(x,y\right)$ and y(x).