Test 2 Practice Problem 1. Find the following derivatives (you do NOT need to simplify). (a) a 4 cos (3x) dx (b) da a 31 + 23 + 3x +3 (c) - 2 5 tan-1 (4) dx (d) 7 sin -1 (2x + 4) d x 2 csc -1 (x ) (e) dx d ( f) dx d tan(x) + 1 dx - 4 (h ) d dx - sec(sin(22) + cos-1(x)) 12 (i) - xtan(2) 10g3 ( 2 2 + 1 ) (j) dx (k) - (x In x - x) d dx - In(sin(x)) Problem 2. Evaluate the following limits, making sure to show all work. tan (5x) a lim I-+0 6x sin (x - 1) (b) lim 3x - 3 sin (5x) (c lim I -+ 0 2x Problem 3. Find the equation of the tangent line to the following equation at (0, 0): cot -1(y) + tan -1(x) = (y - 1)x+ 5