F(x)=(x^3-x)^9 10 класс надо найти производную

f(x)=(x−3)

3

(x−1)

f

′

(x)=3(x−3)

2

(x−1)+(x−3)

3

f

′

(x)=(x−3)

2

(3(x−1)+x−3)

f

′

(x)=(x−3)

2

(3x−3+x−3)

f

′

(x)=(x−3)

2

(4x−6)

f

′

(x)=2(x−3)

2

(2x−3)</var>

\begin{gathered} < var > \\f(x)=(x^2-9)(x+1)\\ f'(x)=2x(x+1)+x^2-9\\ f'(x)=2x^2+2x+x^2-9\\ f'(x)=3x^2+2x-9 < /var > \end{gathered}

<var>

f(x)=(x

2

−9)(x+1)

f

′

(x)=2x(x+1)+x

2

−9

f

′

(x)=2x

2

+2x+x

2

−9

f

′

(x)=3x

2

+2x−9</var>