- #1
runningninja
- 26
- 0
We know that the first derivative represents the slope of the tangent line to a curve at any particular point. We know that the second derivative represents the concavity of the curve.
Or, the first derivative represents the rate of change of a function, and the second derivative represents the rate of change of the rate of change of a function.
So, geometrically speaking, is there any meaning to the third, fourth, fifth, or any derivative above the second?
Or, the first derivative represents the rate of change of a function, and the second derivative represents the rate of change of the rate of change of a function.
So, geometrically speaking, is there any meaning to the third, fourth, fifth, or any derivative above the second?