Question

How do you differentiate `f(x)= sqrt (ln2x)/x`?

Answer 1

`d/dx(sqrt(lnx)/x)=(x*(ln2x)^(-1/2)-sqrt(ln2x))/x^2`

Explanation:

By using the quotient rule, together with the power rule, we get

`d/dx(sqrt(lnx)/x)=(x*1/2*(ln2x)^(-1/2)*2-sqrt(ln2x))/x^2`