Part B: Full Solutions Open with Google Docs All work must be shown using proper form to receive full marks. 3. Evaluate the following limits, if they exist. If the limit does not exist, write DNE (3 marks each) a) lim x4+12x+20 x--2 4x2+5x-6 b) lim Vx+2-1 x--1 x+1 4. Differentiate using first principles. (4 marks) f (x) = -3x2+4x+ 65. Find the derivative of each of the following functions. Simplify where possible. (12 marks) x (2953)2 a)f(x) = b) 90:) = (32c2 1)2(2x + 1)4 C0536 0) mm = 5x ~ 2x2+1 d) 300 = x 2x1 6. Determine the equation of the tangent to f(x) = where x = 3 (5 marks) xZ 7. Determine the intervals of increase/decrease for the function f (x) = x2 -7 (5 marks) x+4