- Use the corresponding formula for the problem (for example, ask for the area → use the area formula)
- (preparation to derivate the formula) Use the a “limitation”/ equation given, to eliminate variable.
- It is impossible to solve the derivative if the function if there is two or more variables.
- take the derivative (function form) of the formula.
- In this case there is two variable, the dependent (input) and independent (output) variable.
- We are trying to find the input that will yield out a extreme output.
- Use the derivate formula by setting the output to be zero/DNE. (factoring follows)
- Critical Values and Point with theorems states that a absolute extrema of a graph must be at a critical value or a endpoint. While a relative extrema only occurs on a critical point or a discontinuity
- Usually, we use the relative extrema.
- We check if it is a min or max (if there two or more potential solution)
- Concavity or sign chart both works.
- we didn’t want to optimization a min value when ask to find the max, right?