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Measure rates of change directly on graphs you can tap and zoom, watching a secant line settle into a tangent line as the interval shrinks.
By the end of the course, you'll be able to find average rates of change from graphs and tables, work with negative rates through displacement and velocity, estimate the slope of a curve at a single point, write the equation of a tangent line, and read the limit definition of the derivative as something you built rather than memorized. You'll work out the derivatives of squares, lines, exponentials, and square roots from that definition, so the shortcut rules make sense when you meet them.
By the end of the course, you'll be able to find average rates of change from graphs and tables, work with negative rates through displacement and velocity, estimate the slope of a curve at a single point, write the equation of a tangent line, and read the limit definition of the derivative as something you built rather than memorized. You'll work out the derivatives of squares, lines, exponentials, and square roots from that definition, so the shortcut rules make sense when you meet them.
