Concept: The derivative can be approximated by the slope of a secant line (editing)

Prerequisite concepts
lower anchor MTH 251

The derivative can be approximated by the slope of a secant line

The value of the derivative at a point on a curve can be approximated by the slope of a line secant with the curve near that point.

Representations used

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1D Graph

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The magnitude of the derivative at a point is the slope of a tangent line at that point

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Zapping with d
Differentials are small changes or differences
Equations can be 'zapped with d' to relate differentials
Individual differentials can be manipulated algebraically
Total differentials are linear