Find the Derivative - d/d@VAR f(x) = natural log of x

Problem

d(ln(x))/d(x)

Solution

1. Identify the function to be differentiated, which is the natural logarithm of x denoted as ln(x)

2. Apply the power rule for logarithms or the standard derivative formula for transcendental functions.

3. Recall that the derivative of ln(u) with respect to u is 1/u

4. Conclude that for the independent variable x the derivative is the reciprocal of the argument.

Final Answer

d(ln(x))/d(x)=1/x

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