# How do you find the derivative of f(x)=(6x-2)^2?

Jul 22, 2016

12(6x - 2)

#### Explanation:

differentiate using the $\textcolor{b l u e}{\text{chain and power rules}}$

$f ' \left(x\right) = 2 \left(6 x - 2\right) . \frac{d}{\mathrm{dx}} \left(6 x - 2\right) = 2 \left(6 x - 2\right) .6$

$\Rightarrow f ' \left(x\right) = 12 \left(6 x - 2\right) = 72 x - 24$

Alternatively, expand f(x) using FOIL.

$\Rightarrow f \left(x\right) = 36 {x}^{2} - 24 x + 4$ and differentiate using the $\textcolor{b l u e}{\text{power rule}}$

$\Rightarrow f ' \left(x\right) = 72 x - 24$