Question

What's the partial derivative of (x+2)(x-3)y with respect to x?

Answer 1

@ganeshie8

Answer 2

\[\begin{align*}
\frac{\partial }{\partial x}\left[(x+2)(x-3)y\right]&=\frac{\partial }{\partial x}[x+2](x-3)y+(x+2)\frac{\partial }{\partial x}[x-3]y\\&~~~~~~~~+(x+2)(x-3)\frac{\partial }{\partial x}[y]\\\\
&=(x-3)y+(x+2)y+0\end{align*}\]

Answer 3

So the answer is (2x-1)y, right?

Answer 4

Yes

Answer 5

Thanks.