differentiate (x-2)^3 — step-by-step solution

Let's differentiate:

{({(x - 2)}^{3})}^{'}

Apply the differentiation rule:

{(f^{n})}^{'} = n \cdot {(f)}^{'} \cdot f^{(n - 1)}

with f =

x - 2

3 \cdot {(x - 2)}^{'} \cdot {(x - 2)}^{2}

ℹ

(x+-2)'

1 + 0

3 \cdot (1 + 0) \cdot {(x - 2)}^{2}

▷Answer: $3 \cdot {(x - 2)}^{2}$