Question

1) Write and answer a question that asks to solve an equation that involves an logarithmic function. That is, your unknown must be in a logarithmic function so that you must use inverse operations (including exponentiation) to solve for it. Your solution must include an exact answer, not a decimal approximation.

2) Write and answer a question that asks you to find the derivative of the sum or difference of at least three functions. Your question and solution must demonstrate the use of each of the following:

a. The derivative of a logarithmic function AND the chain rule (i.e. ln ?(?)),

b. The power rule for differentiation, and

c. The derivative of a logarithmic function that has an “unnatural base” (i.e log? ? where ? ≠ ?).

3) Write and answer a question that asks to find the derivative of the product or quotient of two functions, one of which is a logarithmic function. In other words, your solution must incorporate the rule for differentiation of logarithmic functions AND either the product rule or quotient rule

Answer 1

I have attached the solution of this problem and if you have any doubt feel free to ask me.