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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

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: (Please draw the graph by hand)

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