Find derivatives for the functions. Assume a, b, c, and k are constants. y=x\ln x−x+2y=x\ln x−x+2

Find derivatives for the functions. Assume a, b, c, and k are constants.
$y=x\mathrm{ln}x-x+2y=x\mathrm{ln}x-x+2$
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${y}^{\prime }={\left(x\mathrm{ln}x-x+2\right)}^{\prime }$
$={\left(x\mathrm{ln}x\right)}^{\prime }-{\left(x\right)}^{\prime }+{\left(2\right)}^{\prime }$ Derivative of Sum
$={\left(x\right)}^{\prime }\mathrm{ln}x+x{\left(\mathrm{ln}x\right)}^{\prime }-1$ Product Rule

$\mathrm{ln}x$