Tangent line

In mathematics, geometry, and calculus, the tangent line ...

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Definition

Sometimes defined as mtan=limxafxfaxa, but more often defined as mtan=limh0f(x+h)fxh, coinciding with the definition of the derivative.

Equation of the tangent line at a point

The equation of the tangent line at a point (a,fa) is y=(fa)(xa)+fa.