Consider the function f(x) = 3(1 − eˣ). Use exact values when answering the following questions.
(a) Find the slope of the graph of f(x) at the point where it crosses the x-axis.
(b) Find the equation of the tangent line to the graph of f(x) at the point in part (a). Use y as the dependent variable
(c) Find the equation of the line which is perpendicular to the tangent line in part (b) and passing through the point in part (a). This line is called a normal line. Use y as the dependent variable.