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

${\frac {dy}{dx}}=Lim_{\delta x\to 0}\Sigma {\frac {\delta y}{\delta x}}$