Changes

The process of finding a derivative is called '''differentiation'''.

The process of finding a derivative is called '''differentiation'''.

Algebraic differentiation is an important part of [[calculus]], an essential branch of [[mathematics]].

Differentiation is one of two fundamental operations in [[calculus]], the other being [[integration]].

For a single variable real function the derivative is the equation that given the [[gradient (two points)|slope]] of the line which is tangential at that point.

For a real-valued function <math>f(x)</math> of one variable, the derivative of <math>f</math> corresponds to the [[slope]] of the tangent line to the graph of ''f'' at ''x''.

The roots of differentiation are profoundly linked with tangency; ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].

The roots of differentiation are profoundly linked with tangency ergo, this aspect of mathematics can first be perceived to have been developed during the time of the [[Ancient Greeks]] through the work of Greek geometers like [[Euclid]], [[Sanath]] and [[Archimides]].

When defined from the first principals, the derivative of a function is the limit of the average rate of change of the function over <math>[x,x+h]</math> as <math>h</math> tends to zero. In other words, the derivative

When defined from the first principals, the derivative of a function is the limit of the average rate of change of the function over <math>[x,x+h]</math> as <math>h</math> tends to zero. In other words, the derivative