Engineering Tables/Properties of Derivatives

Properties of Derivation
$\left(cf\right)=c{f}^{\prime }$
$\left(f+g\right)=f^{\prime }+g^{\prime }$
$\left(f-g\right)=f^{\prime }-g^{\prime }$
Product Rule	$\left(fg\right)=f^{\prime }g+f{g}^{\prime }$
Quotient rule	$\left(\frac{f}{g}\right)=\frac{f^{\prime }g-f{g}^{\prime }}{g^2},g\ne 0$
Functional Power Rule	$(f^g{)}^{\prime }=\left(e^{g\ln f}\right)=f^g(f^{\prime }\frac{g}{f}+g^{\prime }\ln f),f>0$
Chain Rule	$(f\circ g{)}^{\prime }=(f^{\prime }\circ g)g^{\prime }$
Logarithm Rule	$f^{\prime }=(\ln f{)}^{\prime }f,f>0$