Which among the following is false for getting the derivative of an implicit function? O Another way to find dy/dx for an implicit equation is by writing y explicitly as a function of x, if possible, and then differentiate. OIn solving for dy/dx using implicit differentiation, when you differentiate terms involving y, you must apply the Chain Rule. O f it is difficult to express y as a function of x explicitly for an implicit equation, then implicit differentiation can be used to find dy/dx. O In solving for dy/dx using implicit differentiation, when you differentiate terms involving x, you must apply the Chain Rule.

Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.

Construct YOUR OWN example of how to determine the derivative of a given function and the process for finding the antiderivative of the function you have obtained. Also, kindly look to the EXAMPLE output provided below and follow the given format and procedure but DO NOT COPY THE GIVEN FUNCTION.Note: CREATE YOUR OWN FUNCTION, DO NOT TRY TO COPY OR SOLVE THE EXAMPLE OUTPUT BELOW.

describes the derivative of a in terms of y. dy The notation FALSE TRUE The derivative of the function whose equation is 2+ x3 x - y can be determine using implicit differentiation. O TRUE FALSE

Find the derivative of the function. y=(12x²-24x+24) e 3x Find the rule that should be used first in finding the derivative of the given function and choose the first step in applying the rule. The dx 11 ... should be used first.

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.

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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…

Write the Leibniz notation for the derivative of the given function and include units. The distance to the ground, D, in feet, of a skydiver is a function of the time t in minutes since the skydiver jumped out of the airplane. The number, N, of gallons of gas left in a gas tank is a function of the distance, D, in miles, the car has been driven.