5.6 Solving Optimization Problems Homework [top]

Unlike simple derivative problems where you just differentiate a given function, optimization problems require you to the function first. Follow these steps in order every time.

On problems with more than two variables (e.g., box from cardboard, cylinder in a cone), I sometimes struggle to find the right constraint equation. Any mnemonics or checks to make sure I haven’t missed a relationship? 5.6 solving optimization problems homework

Volume = Length $\times$ Width $\times$ Height. Since the original sheet is $12 \times 12$ and we cut $x$ off both sides: Any mnemonics or checks to make sure I

Use the First Derivative Test (sign chart) or the Second Derivative Test to confirm if your critical point is a maximum or a minimum. Ensure the answer fits within the practical domain of the problem. Common Homework Examples Ensure the answer fits within the practical domain

Draw a rectangle. The river acts as one side, so we only need fencing for three sides.