5. Working with the the Temperature Function F(t). Note: Do not use the data om the chart or the scatterplot, use your function to answer these questions. a. Looking at the graph of the function y = F0), answer the following questions about the derivative function, F'(t), which represents the instantaneous rate of change of the temperature at any time t. i. When, if ever, is F'{t) positive? ii. \"Winn, if ever, is F'(t) negative? iii. When, if ever, is F'(t) undefined? iv. When, if ever, is F'(t) increasing in value? v. When, if ever, is F'(t) decreasing in value? b. From your answers above, sketch a graph of y = F'(t) below. c. Analytically, using derivative properties, nd the rule for F'(t). Hints: l. F'(t) will also be a piecewise function. 2. Finding the derivative of the second part of the piecewise function requires an application of the Chain Rule. Find the derivative of the two parts of F(t). Show your work and write your nal answer on the next page