1. Calculate each derivative of each function using the limit definition f' (x) = lim f( ath)-f(x) h-0 h 1) f(x) = -3x+5 2) f (x) = 7x -x2 3) f (x ) = II. Calculate each derivative using the shortcut rules. 4) [Vx] a [-5+8] 6) & L 7) ~ [x6 - 3ex + 1] 8 ) 4 4+3 - 6+2 + 2 d2 9) -2 [ x6 - 5x4+ 3x + 15+ 3ex] 10) 473 6t7 - 5t + +19 11) dxz - 3x4 + 4ex ]|||. 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) = 4ex at the point (0,-4). 14) Find all points on the graph of f (x) = x + THE where the tangent slope is 3. 15) Find all points where the function f (x) = x3 + 3x2 24x + 15 has a horizontal tangent line