Arithmetic Course/Number Operation/Differentiation

Differentiation
Differentiation is an arithmatic operation to find the value of Slope of a Curve represented by a function f(x)

For a function f(x)
 * $$m = \frac{\Delta f(x)}{\Delta x} = \frac{f(x+h)-f(x)}{h}.$$
 * $$f'(a)=\lim_{h\to 0}{f(a+h)-f(a)\over h}$$

Then the Derivative of the function
 * $$\frac{dy}{dx} = Lim_{\delta x \to 0} \Sigma \frac{\delta y}{\delta x}$$