Question

Let n(x)=X^2f(x)g(x) what is n'(1)
f(1)=3 f'(1)=-3 g(1)=2 g'(1)=6

Answer 1

\[n'(x)=2xf(x)g(x)+x^2f'(x)g(x)+x^2f(x)g'(x)\]

Answer 2

\[n'(1)=2(1)f(1)g(1)+(1)^2f'(1)g(1)+(1)^2f(1)g'(1)\]

Answer 3

\[n'(1)=2(3)(2)+(-3)(2)+(3)(-6)\]

Answer 4

i left the arithmetic to hamaham