1. For function f (x) = 0.5*, state a) the average rate of change from x = -1 to x = 1 b) the instantaneous rate of change at x = 0 2. State the derivative of the following functions a ) y = - -x 2 b ) y = Tx c) y = 2cos (x2) d) y = 2x ely = . f ) y = e2x N3. Evaluate the following limits, if they exist. If the limit does not exist, write DNE (3 marks each) a) lim x2+12x+20 Vx+2-1 X--2 4x2+5x-6 b) lim x--1 x+1 4. Differentiate using first principles. (4 marks) f(x) = -3x2 +4x+ 6