Calculus I, Math 170 Final Exam Solutions Spring 2009 Directions ...

(e) (2 points) Approximately when does the particle achieve its greatest upward acceleration
on the interval [2, 10]?
(4) (8 points) Use the method of logarithmic differentiation to calculate y ′ where y = x sin x .
(5) (6 points) For the equation y 2 − x cos y = 5, find dy
dx
by implicit differentiation.
(6) (6 points) Determine the point(s) (x, y), if any, on the graph of y = x + ln x where the
tangent line(s) is perpendicular to the line l given by 2x + 6y = 5.