Differential Coefficient (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 differential coefficient of the function f(x) = 3x^2 is f'(x) = 6x.
- To find the maximum of the function, we need to set the differential coefficient equal to zero and solve for x.
- The differential coefficient of the velocity function gives us the acceleration of the object.
- She used the differential coefficient to model the rate of change of the chemical reaction.
- The differential coefficient of the function f(x) = e^x is also f(x), which makes it a fundamental example in calculus.