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The 24 pages that link to Tangent line, each with the reason it gives.

• DerivativeRelated: The derivative gives the tangent line’s slope at each point.

• Newton's methodRelated: The method estimates a root where the current point's tangent meets the horizontal axis.

• Partial derivativeRelated: A coordinate slice of a function's graph has a tangent slope equal to its partial derivative.

• Chain ruleRelated: The derivative factors describe successive changes in tangent direction and scale.

• SlopeRelated: Its slope captures a curve’s instantaneous direction.

• DifferentiabilityRelated: For a differentiable real function, the derivative gives the tangent line’s slope.

• Difference quotientRelated: The quotient gives secant slopes that can approach the tangent slope.

• Legendre transformRelated: For a differentiable convex function, the derivative sets the slope of a supporting tangent.

• Mean value theoremRelated: The theorem guarantees a tangent parallel to the secant through the interval endpoints.

• Radical axisRelated: For tangent circles, the radical axis is their shared tangent point’s perpendicular line of equal power.

• Implicit differentiationRelated: The derivative obtained from an implicit equation gives the curve’s tangent slope.

• Linear approximationRelated: The approximation is the tangent line expressed as a formula for nearby function values.

• Bernoulli's inequalityRelated: The bound 1+rx is the tangent line to (1+x)^r at x=0.

• Differentiable functionRelated: For a differentiable graph, the derivative gives the tangent line's slope.

• Instantaneous velocityRelated: On a position-time graph, its slope at an instant is the velocity.

• Conway circle theoremRelated: Each contact point is defined by a side line tangent to an incircle or excircle.

• Differentiation of trigonometric functionsRelated: A trigonometric derivative gives the slope of the function’s tangent line.

• Differentiation rulesRelated: It gives the geometric meaning of the derivative produced by the rules.

• Poncelet's closure theoremRelated: Tangent lines to the inner conic determine the polygon’s successive edges.