MAT 271 Problem Set #2: Basic Derivatives Spring 2018 Instructions: Work the following exercises out by hand on separate paper' Clearly label each exercise and indicate your nal answer' You must show all work for full credit Upload your work to moodle. Calculate each derivative of each function using the limit denition f'(x) : Lina W 1) f(x)=3x+5 2) f(x) = 715}:2 a) [(1) = L m Calculate each derivative using the shortcut rules. 4) w 5) %[5t"] 11 2 d 6) a [ac4'] E [X6 39X + 1] 8) %[4t3 6t2 +] d2 9) 1112 [x6 Sx\" + 3x + 15 + 3e"] 10) $[6t7 5t ++ 19] 11) $[x4 + 49"] III. Solve each problem related to the tangent slope/line of a function. 12) Find the tangent slope of the function f (x) = x2 - 3x + 2 at the point (2,0). 13) Find the equation of the tangent line to the graph of the function f(x) = -4e* at the point (0,-4). 14) Find all points on the graph of f (x) = x + 2vx where the tangent slope is 3. 15) Find all points where the function f (x) = x3 + 3x2 - 24x + 15 has a horizontal tangent line