Question 2 ( 6 points ) Upload your response to the following question. Again, make sure to assign all written homework pages to \"written homework prob- lem\". Consider the polynomial f (m) = $3 + Gm 7. This function satises the horizontal line test and therefore has an inverse function f'1($). In this problem we will ask about its derivative % (f_1(m)). It is too hard to solve for f'1(a:) directly, but the derivative is not too hard to solve for thanks to implicit dierentiation. ( a ) Find the following values. For each, either show your calculation or write one sentence to explain how you arrived at your answer. f(2) 0 f'1(13) *- f'1(f(37)) (b) Similar to Question 5 on the Module 4 Part 1 content sheet, we will now use implicit dierentiation to nd the derivative of the inverse function f'1(a:). Start by setting y = f'1(m). This implies that a: = f (y), since inverse functions switch a: and y values. Now use implicit dierentiation on a: = y3 + 6y 7 and solve for y'. (c) Lastly, use part (b) to nd the slope of the line tangent to y = f'1(a:) at d a: = 13. Remember that the slope is given by y'r = a (f_l(:c))