1. Using a series of secant lines, find approximations to the slope of the tangent to the curve curve y = 3x2 +5 atx = 2. To form the secant lines, choose a sequence of points with x = 2.1, x = 2.01, x = 2.001 and x = 2.0001. When performing the calculations, do not round your numbers and keep as many significant digits as your calculator can carry. [5 marks] 2. Evaluate the derivatives of the following functions using the limit definition. [3x5 marks] a) f(x) = 4 - Vx +3 b ) f (x ) = x-1 x2+3x c) f ( x ) = V2-x 3. Find the equation of the line tangent to the curve y = 2x2 + 3x -4 at x = 3. Use the limit definition to calculate the derivative. Do not use the derivatives rules. [5 marks]