Observe what happens to the slope of the tangent line as you drag P along the sine function. According to the differences column of the table of values, what type of function is the derivative?[br][br]Use the slider to change the base of the exponential function to see if this relationship holds in general.[br][br]Note: the values in the [i]x[/i] column of the table correspond to 0, [math]\frac{\pi}{4}[/math], [math]\frac{\pi}{2}[/math], etc.