3) In differential calculus, a related rates problem involves at least two changing quantities ( with respect to the same variable) and asks you to figure out the rate at which one is changing by relating that quantity to other quantities whose rates of change are known (or easier to find). Give an example of a related rates problem and state a) All quantities which are changing as variables b) Identify the underlying independent variable in the problem c) Give the mathematical model (the equation) underlying the relationship among the variablesYour answers MUST be handwritten. Take a picture of your work and upload it here. Do Not handwrite the questions, just the answers. For example the answer for question 1) part a) should be: d 1)a) da - (1") = na"-1 To find the derivative of a variable raised to a constant power, we multiply the expression by the exponent and then subtract one from the exponent. 1) State each differentiation rule both in mathematical symbols and in words. a) The Power Rule b) The Constant Multiple Rule c) The Sum Rule d) The Difference Rule e) The Product Rule f) The Quotient Rule g) The Chain Rule 2) Explain a) How Implicit Differentiation works b) How Logarithmic Differentiation works 3) In differential calculus, a related rates problem involves at least two changing quantities ( with respect to the same variable) and asks you to figure out the rate at which one is changing by relating that quantity to other quantities whose rates of change are known (or easier to find)