![\displaystyle \large{f'(x) = \lim_{h \to 0} \frac{[3 {(x + h)}^{2} - 2(x + h)]- (3 {x}^{2} - 2x) }{h} }](/tpl/images/2489/3288/5cceb.png)
![\displaystyle \large{f'(x) = \lim_{h \to 0} \frac{[3 ( {x}^{2} + 2xh + {h}^{2}) - 2x - 2h]- 3 {x}^{2} + 2x}{h} } \\ \displaystyle \large{f'(x) = \lim_{h \to 0} \frac{3 {x}^{2} + 6xh + 3{h}^{2} - 2x - 2h - 3 {x}^{2} + 2x}{h} } \\ \displaystyle \large{f'(x) = \lim_{h \to 0} \frac{6xh + 3 {h} ^{2} - 2h}{h} }](/tpl/images/2489/3288/cf870.png)
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