Question

differentiate y=ln2x/sqrtx using quotient rule

Answer 1

\[\left(\frac{f}{g}\right)^'=\frac{gf-'fg'}{g^2}\] with
\[f(x)=\ln(2x), f'(x)=\frac{1}{x},g(x)=\sqrt{x}, g'(x)=\frac{1}{2\sqrt{x}}\]

Answer 2

plug and chug with the algebra

Answer 3

when you are done, you should get
\[\frac{2-ln(2x)}{2\sqrt{x^3}}\]