The derivative of ln(u) is equal to 1/u times the derivative of u:
$$\frac{d}{dx}(\ln u) = \frac{1}{u}\frac{du}{dx}$$
This can also be written using Leibniz notation as:
$$\frac{d\ln u}{dx} = \frac{1}{u}\frac{du}{dx}$$
It’s important to note that this formula is valid only if u is a differentiable function of x.
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