MAT 131 Midterm: MAT131 SBU Midterm 2 P

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 131
• Professor: All

Document Summary

Practice midterm 2: compute derivatives of the following functions: Sin2 x, y = x1/x, y = cos(arctan x), y = arctan(cos x), x3 y = (cid:17), y = tan x3, y = tan3 x, y = (cos x)sin x: find the second derivatives of the following functions: y = xex2. Is your estimate an: show that the curve y3 y = 1. X2 sin y = 1 has a horizontal tangent line at point x = 0: find the equation of the tangent line to the parametric curve x(t) = at the point x = 1/3, y = 1. At the moment when the distance from the origin to the particle equals 5 meters, this distance is increasing at the rate of 8 meters per second. Find the speed of the particle at this moment: a good collection of related rates problems is in the textbook.