Pick any exercise in Chapter 12 of the calculus textbook. Post the solution or your attempt. Discuss any issues you might have had. What were the most valuable elements you took away from this course?

Solution

\[f(x,y) = x - 2y\]

\[\text{For the range, as long as it is real numbers, it would be} \; (-\infty,\infty)\]

The derivative for f(x) is:

\[f(x) = x - 2y \\ \frac{df}{dx} = 1\]

The derivative for f(y) is:

\[f(y) = x - 2y \\ \frac{df}{dy} = -2\]

So the set of domain will be x=1, y=-2