We want to maximize Area . $$A = x \cdot y$$
Since $A'(x)$ is a parabola opening downward, the critical point is a maximum. 5.6 solving optimization problems homework
We have 2400 ft of fencing. The fencing covers two widths and one length ($2x + y$). $$2x + y = 2400$$ Solve for $y$: $$y = 2400 - 2x$$ We want to maximize Area
. Don't round too early! Keep it exact until the final step. 4. Why This Matters 5.6 solving optimization problems homework
Drop the details or the specific equation below and we can walk through the derivative together!