Arithmetic Course/Number Operation/Differentiation

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Differentiation[edit]

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}