4. (10 points) Let g(x) = bx? + 4z + 1. (a) Using the limit definition, find g/(z). (b) Write the equation of the tangent line to g(z) at z = 1. (c) Below is a sketch of g(z). Draw the tangent line at # = 1 on the graph. [Make sure your graph has both the graph of g(x) and the tangent line on it.] Y