Look for three (3) mathematical formulas related to a STEM (Science, Technology, Engineering, and Mathematics) field like engineering, health science, or technology. Explain a brief description or explanation about the use of this formula in that field. Find the derivative of this function (formula) with respect to a specific variable. See the example below.

Example: Field: MEDICINE Name of Formula: Young's Rule Age of Child in Years Child's dose = Age of Child in Years + 17 * Adult dose Description: This formula is used to determine the amount of drug dosage for children over 1 year of age up to 12 years. Presentation of the Formula using Variables: [Note: If the formula is already stated in variable form, no need to do this part.] C ac y= c + 12 a or y = c + 12 where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y with respect to c This means that a will be considered as constant. For a formula with more than 2 variables, you are free to choose which among the variable or variables will be considered constant. ac c + 12 dy (c + 12) (a) - ac(c + 12) dc (c + 12) dy ac + 12a - acz - 12ac dc (c + 12)2 dy -ac - llac + 12a dc (c + 12)2 dy acz + 1lac - 12a dc (c + 12)2