Back Extra Credit Test z. pat Problem 3. (2 points) A function f(z) has the following first derivative: Extra Credit #2 f'(x) = x - 5x +6 CLASS: MATH 1329 a) On which intervals does the graph of f(z) increase? decrease? SECTION: NAME : Show all work. Credit will not be awarded if work is not shown. You may either print this document and work on the print or you may work on loose leaf paper clearly labelling your by problem and denoting the answers. Once you have finished, scan your work and upload this scan to the Assignment on Canvas. This is an extra credit assignment worth up to 5 points in the Test 2 category of your grade. Problem 1. (2 points) Using derivative rules find: b) What are any critical numbers of f(z)? What are the relative maxima of f? a) f'(x) given f(x) = 2 472 What are the relative minima of f? b) f'(x) given f(x) = In(x2 + 4x). c) On which intervals is the graph of f(r) concave upwards? concave downwards? c) f'(x) given f(x) = (12 +9)et. d) What are any inflection points on the graph off(x)? d) f'(x) given f(x) = In(z). SECTION: NAME : Show all work. Credit will not be awarded if work is not shown. You may either print this document and work on the print or you may work on loose Problem 2. (1 point) Given the equation ry + ry = r, use implicit differentiation to find . leaf paper clearly labelling your by problem and denoting the answers. Once you have finished, scan your work and upload this scan to the Assignment on Canvas. This is an extra credit assignment worth up to 3 points in the Communicating Mathematics category of your grade. Maximize the volume of a box with an open top formed by cutting identical squares from the corners of a single 8.5 in by 11 in sheet of paper and folding the flaps up