MIDTERM UMGC Math 140
Fall 2022
Prof. Chowdhury
Name __________________________
Instructions: Part 1 is multiple choice. You do not have to show work for this part.
Use the attached answer sheet for your answers. Each is worth 2 points.
Part 1: MCQ
Part 2: Long Answer. Show all your work for these. I am testing you on your
understanding, so be sure to show me how much you understand. CHOOSE ANY
3 ONLY. 5 points each.
11. Find dy/dx by implicit differentiation.
12. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given
value of a.
13.
14. Find the second derivative of the function.