Derived Function (Noun)
Meaning
The result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The derived function represents the rate at which the output of the original function changes with respect to one of its inputs.
- By computing the derived function of a complex system, we can understand its dynamic behavior under different conditions.
- To minimize a function, it's often helpful to examine its derived function to determine where it equals zero.
- Mathematicians rely heavily on the derived function when analyzing optimization problems or curve-fitting scenarios.
- Graphically, the derived function represents the slope of a tangent line at each point of the original curve.