1) Using a series of secant lines, find approximations to the slope of the tangent to the 3 51 +3 curve f(x) = at x = 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. 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. [3 x5 marks} a)f(x)= 3 b)g(3c)=x3g c)f(x)=1/\\,I17x 5x+3 x 3) Find the equation of the line tangent to the curve 3/ = V5 Bar at x = 0. Do not use the derivatives rules which you have not been taught in this course vet. Use the limit definition to calculate the derivative. [5 marks]