QUESTION 1 Find f '(x) given f(x) = 3x" + + 3/2 Wa QUESTION 2 Use the product rule to find f '(x) when f(x) = (3a + 2) (5a* 6a) QUESTION 3 Find the equation of the tangent line y = T(2) to the graph of y = = at (1, 1) using the Hi Quotient Rule. To check use a graphing calculator to graph the function and the tangent line. Sketch the graph on your paper. Label the point of intersection and one other point on the tangent line with ordered pairs. Sketch the asymptotes as dashed lines. 6/15/25, 3:45 AM 7W: Written HW Criteria Ratings Pts 1. Rewrote f(x) correctly to use power rule 2 pts 1 pts 0 pts Full Marks Partial Points No Marks 2 pts 1. Applied power rule correctly to each 4 pts 3 pts 2 pts 1 pts 0 pts Full Partial Partial Partial No term 4 pts Marks Points Points Points Marks 1. Simplified each term in derivative so all 4 pts 3 pts 2 pts 1 pts 0 pts Full Partial Partial Partial No exponents are positive and all rational 4 pts Marks Points Points Points Marks exponents are expressed as radicals 2. Applied product rule correctly 6 pts 4 pts 2 pts 0 pts Full Marks Partial Partial No Marks 6 pts Points Points 2. Expanded and simplified correctly 4 pts 3 pts 2 pts 1 pts 0 pts Full Partial Partial Partial No 4 pts Marks Points Points Points Marks 3. Applied quotient rule correctly to find y' 3 pts 2 pts 1 pts 0 pts Full Marks Partial Partial No Marks 3 pts Points Points 3. Evaluated y'(-1) correctly 2 pts 1.5 pts 1 pts 0 pts Full Marks Partial Partial No Marks 2 pts Points Points 3. Identified the Calculus concept for 1 pts 0 pts Full Marks No Marks 1 pts slope 3. Found the equation of the tangent line 2 pts 1.5 pts 1 pts 0 pts Full Marks Partial Partial No Marks T(x) in y=mx+b form 2 pts Points Points 3. Sketched the function and the tangent 2 pts 1.5 pts 1 pts 0 pts 2 pts Full Marks Partial Partial No Marks line. Points Points Sketched the asymptotes for the function y as dashed lines