Using Winplot or other graphing software sketch the graph of y = sin(2x). a. Using tangents set up a table of values for x f'(x) -70 -3/4 -/2 /4 2 b. Plot the points and find a function that will join the points to form a continuous curve. c. What is the equation for the derivative of f(x) = sin(2x)? 2. Complete a similar process for the equation y = (0.75)X. (Note: The equation of the derivative will be of the form y = k(0.75)x.) f(x+h)-f(x) 3. Find the derivative of the following functions using the lim a. f(x) = x + 5x b. f(x)= Show all your steps. h