1. Using a series of secant lines, find approximations to the slope of the tangent to the Curve 2 y = 3x + 4 At 1: = 1. To form the secant lines, choose a sequence of points with x = 1.1, x = 1.01, x = 1.001, and x = 1.0001. Do not round at any point throughout your calculations. Keep as many significant digits as your calculator can carry. [5 marks] 2. Evaluate the derivatives of the following functions using the limit definition. [5 marks each] 5 a} x) 3H, o} f(x)=2x Qx 123! 3+x Cl f(XJ= 3. Find the equation of the tangent line to the curve 32 = 9 2x2 At 1: = 2. Use the limit definition to calculate the derivative. [5 marks]