Question: If f ( x ) = x 2 2 , g ( x ) = x 3 + 2 x 2 + x , p

If f(x)=x22, g(x)=x3+2x2+x, p(x)=f(x)g(x)=(x22)(x3+2x2+x), and q(x)=g(x)f(x)=x3+2x2+xx22, find

(1) f'(x) and f'(3).

(2) g'(x) and g'(3).

(3) p'(x) and p'(1).

(4) q'(x) and q'(1).

Please, please, please show the steps of your work so I can actually learn how to solve problems like this.

Thank you!

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