Problem

Use the slider to change the value of \(a\).

  • What do you notice?
  • What questions do you have?

Decide which of the following is the gradient function of \(\sin 3x\) and justify your answer.

  1. \(\cos 3x\)
  2. \(3\cos x\)
  3. \(3\cos 3x\)

It may be useful to use the GeoGebra applet or graph sketching to help you explain.