Chapter 14.6, Problem 7E

(a)

To determine

To find: The gradient of $f\left(x,y\right)=\frac{x}{y}$.

(b)

To determine

To Evaluate: The gradient of $f\left(x,y\right)=\frac{x}{y}$ at the point $P\left(2,1\right)$.

(c)

To determine

To find: The rate of change of $f\left(x,y\right)=\frac{x}{y}$ at the point $\left(2,1\right)$ and in the direction of the vector, $\text{u}=\frac{3}{5}\text{i}+\frac{4}{5}\text{j}$.