## Some Prominent Interpretations (Uses) of the Derivative

Physical Interpretation: instantaneous ... something. That's why it's so useful-- anything that is instantaneous in physics has got something to do with the derivative. Be it velocity, or acceleration, or force. (All INSTANTANEOUS!)

Economical Interpretation: Marginal... something. Example: Marginal benefit, marginal revenue...

Geometrical Interpretation: The slope of the line which is tangent to a point of a curve. It is equal to the derivative of the curve at that point.

Economical Interpretation: Marginal... something. Example: Marginal benefit, marginal revenue...

Geometrical Interpretation: The slope of the line which is tangent to a point of a curve. It is equal to the derivative of the curve at that point.