The Derivative: From Secant Slopes to Instantaneous Change
An English Calculus I lecture derives the derivative from secant slopes, works the limit definition for f'(3) when f(x)=x^2, and connects the result to tangent lines and instantaneous velocity.
This English Calculus I lecture derives the derivative from secant slopes, works
f'(3) for f(x)=x^2 from the limit definition, and connects the result to tangent lines, instantaneous velocity, and differentiability.Sources used:
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