Question

Find the derivative of f(x) = x^2 sin(x)

Answer 1

I did
\[(x^2)(\cos(x))+(\sin(x))(2x)\]
and since cos(x) + sin(x) I came up with
\[x^2+2x+1\]
But that was wrong.

Answer 2

So no you can't do that
That is not an identity
And even if it was you do not have cos(x)+sin(x)
you have acos(x)+bsin(x)

Answer 3

\[x^2\cos(x)+2x \sin(x)=x(xcos(x)+2 \sin(x))\]

Answer 4

Thank you!