Find the derivative of the function using the definition of derivative. 1 g(x) %3D 9 + Vx g'(x) = State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.)

Find the derivative of each function by using the definition, then evaluate the derivative at thegiven point. Show step-by-step solutions explaining your work.

Find the third derivative of the given function.  Please write answer in a box

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By differentation rules, evaluate the derivative of this and simplify as possible.

Find the derivative 4et

Look for three (3) mathematical formulas related to your chosen field like engineering, health science, or technology. Write 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 = x Adult dose Age of Child in Years + 12 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.] ас y = а or y %3 c + 12 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…