Derivative as a sequence of secants

About this app

The derivative as a limit: three sequences hₙ → 0 (right, left, alternating) yield three sequences of secants — for x², x³, sin(x) they merge into the tangent; for |x|, √x and x·sin(1/x) they fail visibly.

Subject: Analysis (one-dimensional)

More from Analysis (one-dimensional)

• Bounded growth
• Exponential growth and decay
• Optimisation: the largest rectangle
• Area between curves
• Area function is an antiderivative
• Sequential continuity
• Rational functions and asymptotes
• Graphical differentiation

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