Calculus and change
Derivative
The instantaneous rate of change of a function, defined as a limit of average rates where that limit exists.
Common notation f′(x) = lim[h→0] (f(x+h)−f(x))/h
In one sentence
What does Derivative mean?
The instantaneous rate of change of a function, defined as a limit of average rates where that limit exists.
How it is written
f′(x) = lim[h→0] (f(x+h)−f(x))/h
A compact example
If f(x)=x², then f′(x)=2x.
Other names and search terms
differentiation, rate of change.
Clear answers
Questions about Derivative
What does Derivative mean in mathematics?
The instantaneous rate of change of a function, defined as a limit of average rates where that limit exists.
How is Derivative written?
A common notation is f′(x) = lim[h→0] (f(x+h)−f(x))/h.
What is an example of Derivative?
If f(x)=x², then f′(x)=2x.