1) Using a series of secant lines, find approximations to the slope of the tangent to the curve f(x)=3/(5x+3) 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. [35 marks] a) f(x)=3/(5x+3) b) g(x)=x^3-2/x c) f(x)=1(1-7x) 3) Find the equation of the line tangent to the curve y=(5-3x) at x=0. Do not use the derivatives rules which you have not been taught in this course yet. Use the limit definition to calculate the derivative. [5 marks]