SurCalCh2Sec7 - tangent line is vertical. This is also a...

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2.7 – Nondifferentiable Functions TV Spring 2001 A function is said to be nondifferentiable at if the derivative does not exist at that x value. c x = Causes of nondifferentiability (from a graphical perspective) Discontinuities—If the graph is discontinuous at a particular x-value then it cannot have a tangent line there. If it cannot have a tangent line there, it has no derivative there. Vertical Tangent—The slope of a vertical line is undefined, therefore the derivative is undefined at any x-value where the
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Unformatted text preview: tangent line is vertical. This is also a point of nondifferentiability. Corner PointsIf the graph has a corner at x=c the derivative as and the derivative as disagree. In other words, there is not a well-defined tangent line at that x value. This is also an x-value where the graph is nondifferentiable. + h h Examples:...
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This note was uploaded on 01/12/2012 for the course MATH 2043 taught by Professor Pamelasatterfield during the Fall '05 term at NorthWest Arkansas Community College.

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