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- $\rhd$ Derivative as a concept (7:16) Introduction to the idea of a derivative as instantaneous rate of change or the slope of the tangent line.
- $\rhd$ Secant lines and average change of rate (5:16) Consider $y=x^2$ and find the average rate of change over $[1,3]$.
- * Practice: Derivative notation review. (one problem with a guiding text)
- $\rhd$ Derivative as slope of a curve (6:09) Estimate the derivative $f'(5)$ by analyzing the graph of $f$. Then compare the values $g'(4)$ and $g'(6)$ by looking at the graph of $g$.
- * Practice: Derivative as slope of curve. (4 problems)
- $\rhd$ The derivative and tangent line equations (7:32) The derivative of a function gives us the slope of the line tangent to the function at any point on the graph. This can be used to find the equation of that tangent line.
- * Practice: The derivative and tangent line equations. (4 problems)
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