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)

$m=\frac{\mathrm{\Delta }f(x)}{\mathrm{\Delta }x}=\frac{f(x+h)-f(x)}{h}.$

$f^{\prime }(a)=\underset{h\to 0}{\lim }\frac{f(a+h)-f(a)}{h}$

Then the Derivative of the function

$\frac{dy}{dx}=Li{m}_{\delta x\to 0}\mathrm{\Sigma }\frac{\delta y}{\delta x}$