That's right, [code]f'(x)=2x+2[/code] because the y intercept is 2 and the slope is 2. It's plotted as the dashed line through the three red points from the previous activity.[br][br]Congratulations! You calculated your first [b]derivative[/b]! Your first derivative is a [i]new function[/i] called [code]f'(x)[/code], and it keeps track of the slopes of these lines that very closely match [code]f(x)[/code]. We'll get more specific and explore this idea in several different ways shortly, so don't worry if you don't fully grasp the idea just yet. [br][br]Move the point [code]A[/code] along [code]f(x)[/code] again, and notice how the breadcrumbs seem to perfectly match [code]f'(x).[/code]