Take a look at the different sketches that groups have shared above. Remember, these are sketches of the first derivative y?y? of a function.

Your challenge now is to choose one of these derivatives, and work out as much information as you can about the original function, y=f(x)y=f(x).

For your chosen derivative y?y?, you should:

• Work out where any stationary points are for the original function y=f(x)y=f(x) (you can estimate coordinates)
• For each stationary point, use the first derivative test to determine the nature of each stationary point
• Use this information to sketch a possible graph for y=f(x)y=f(x)

Share your sketch below. In your sketch, you should include:

• Which derivative sketch y?y? you chose
• How you worked out the stationary points and their nature
• The sketch of y

Please sketch the graph by hand

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