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1. Set up your calculator to work in degree mode.

2. Set up the following range by pressing [RANGE] and then entering the values. Once finished press [EXIT].

3. Clear all current functions and graph the functions shown below. (Note that [SHIFT] [VAR] [F1] [F1] [1] produces Y1.) Note that the last parameter in the definition of Y2 is 1E-3.

4. Your graphs should appear as:

5. Now graph the functions: Y1 = sin (20X) and Y2 = d/dx(Y1, X, 1E-3)

with this range setting:

6. It should be clear that the derivative of sin(ax) is kcos(ax).

(i) What value of a gives a value of k equal to 1?

(ii) What is the significance of this special value of a?

(iii) What is the period of sin(ax) when a takes this special value?

7. Confirm your answers to (6) using your calculator in an alternative way.

8. What can you say about the derivative of cos(x)?

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