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The Tangent Line Part 3

Before we move to the next topic, I want you to see that the breadcrumb trail exactly matches f'(x)=2x+2. To that end, I've zoomed way in. Adjust A along f(x), and convince yourself that the function f'(x)=2*x+2 exactly encodes the slopes of the tangent lines of f(x).
Move on after you've had a close look.