tangent line

Curve's grazing contact

A tangent line touches a curve at exactly one point without crossing it there.

In calculus, the tangent line at a point represents the instantaneous rate of change—its slope equals the derivative at that point.

Draw the tangent line to find the slope of the curve.

The concept extends to circles, where the tangent is perpendicular to the radius at the point of contact.

Related

first derivative · geometry · calculus · differential calculus · instantaneous · graze · touching · just barely · limit · mathematics · linearization · graph · intersection · differential · asymptote · steepness · rate · Leibniz

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Opposites
intersection behavior with curves

tangent linesecant

Trig ratio, 1/cos

chord · transversal · diameter

relationship to curve surface

tangent linenormal

Conforming to standard

perpendicular

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line, tangent, tangential, tangency, tangentially, tangents, cotangent, cotangents, tangent lines

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