CoreKeyDerivatives

Definition (Limit Form)

Overview

The derivative is defined as the limit of the difference quotient. This formal definition connects limits to the slope of the tangent line.

Key Concepts

1

f′(x) = lim_{h→0} [f(x+h) − f(x)] / h

2

The derivative is itself a function of x

3

Differentiable implies continuous (but not vice versa)

See it in action

Use the interactive visualizer to explore this concept with real graphs.

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