The graph of a function, drawn in black, and a tangent line to that function, drawn in red. The slope of the tangent line equals the derivative of the function at the marked point.
At each point, the derivative is the slope of a line that is tangent to the curve. The red line is always tangent to the blue curve; its slope is the derivative.
*tangent - puutuv, puute-; puutuja, puutejoon, tangens
*derivative - tuletis, derivaat, derivatiiv; tuletatud, tuletus-
*slope - nõlv, kallak
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