This image shows the derivative at various points as the slope of a tangent line.

This image shows the derivative at various points as the slope of a tangent line. When the derivative is positive, the line is green. When the derivative is negative, the line is red. When it is zero, the line is black.

A tangent line is a line which touches a function without crossing it at a specific point.

Know more:
http://www.calcblog.com/calculating-derivatives-on-ti83-ti84-ti89-ti92-voyage-200/

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