Please sketch the graph by hand. Thank you!

On this page, you're going to explore how helpful differentiation can be when trying to sketch a curve. Your task is to sketch the graph of the function y=x39x2+15x7 in three different ways: 1. Firstly, sketch the graph without using differentiation at all (that is, using polynomial methods) 2. Then, use the first derivative (and first derivative test) but not the second derivative 3. Finally, use the second derivative (and second derivative test) Share your working out below. Make sure you use all three methods to sketch the graph. Note that the work for this activity will only be shared with your coach and teacher. You should keep any working out that you do, because you are going to continue this challenge with your study groups