UniversityMathsFirst principles10–15 min
Limit Lab: Derivative from First Principles
Shrink h in the difference quotient [f(x+h) − f(x)]/h to find f'(x) as a limit, and see the error fall in proportion to h.
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Theory and model assumptions
Shrink h in the difference quotient [f(x+h) − f(x)]/h to find f'(x) as a limit, and see the error fall in proportion to h.
Teacher guidance
University, Calculus
Expected time: 10–15 minutes.