Three interactive solutions are given: use of the prime, the operator $\frac{d}{\mathrm{dx}}$, and the Context Panel.

The derivative of $\ln \left(u\left(x\right)\right)$ is $\frac{u\prime \left(x\right)}{u\left(x\right)}$, that is, $1\/u$ times the derivative of $u$, a result dictated by the Chain rule. For $h\left(x\right)$, the "outer" function is $\ln$, whose derivative is one over the "inner" function, again $\ln \left(x\right)$. This must be multiplied by the derivative of the inner function, which is then $1\/x$.

The reader should feel free to implement this differentiation in the  tutor.