Graphing f '(x) Given the Graph of f(x)
Instructions
- The graph of y = f(x) will be
given. Your goal is to sketch the graph of the derivative:
y = f '(x).
- Use your mouse moving from left to right, staying on the
graphing board, to draw the curve. When you are ready to
sketch the graph move you mouse to the far left and click and
drag. Be sure to move your mouse slowly. Moving too
quickly will result in the deduction of points.
- Hit the "Reset" button if you
want to start over with the given curve.
- Hit the "Next f(x)" button to
work on a new curve. There are thirteen curves that you
can practice with.
- Scoring for each point drawn is based on whether the point
is on the correct side of the x-axis and whether the drawn curve
is correctly increasing or decreasing at that point.
Here is a scoring guide:
- < 0: Please watch the
video and get more practice
or help from your instructor or tutor.
- 0 - 100 Not so great. Better than a monkey,
but you need much more practice.
- 100 - 200 You're on the right track, but need to
practice more.
- 200 - 300 You have the right idea, but maybe need
to take more time while you are sketching the graph of the
derivative.
- 300 - 400 Nice work. You got it mostly
correct. A little more practice and you will achieve
mastery.
- > 400
Excellent! You have figured out the relationship
between the graph of a function and the graph of it's
derivative.