The derivative of ln(u) with respect to x is given by:
(d/dx)[ln(u)] = (1/u) * (du/dx)
where u is the function with respect to which we are taking the logarithm.
In other words, we first take the derivative of u with respect to x, and then multiply it by 1/u.
For example, if u = x^2, then du/dx = 2x, and (d/dx)[ln(x^2)] = (1/x^2) * (2x) = 2/x.
Therefore, the derivative of ln(u) with respect to x is (1/u) * (du/dx).
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