Find the derivative of the functions from first principle x3 – 27

\( f'(x)=\lim\limits_{h \to 0}\dfrac{f(x+h)-f(x)}{h}\)

\(\lim\limits_{h \to 0}\dfrac{[(x+h)^3-27]-(x^3-27)}{h}\)

\( \lim\limits_{h \to 0}(\dfrac{x^3+h^3+3x^2h+3xh^2-x^3}{h})\)

\( \lim\limits_{h \to 0}(\dfrac{h^3+3x^2h+3xh^2}{h})\)

\( \lim\limits_{h \to 0}(h^3+3x^2h+3xh^2)\)

0 +3x² +0 =3x²