The derivative of ln x can be found using the chain rule of differentiation. Remember that ln x is the natural logarithm of x:
ln x = loge x
Using this definition, we can apply the chain rule as follows:
d/dx ln x = d/dx loge x = 1/(loge) * d/dx x
Differentiate x with respect to x gives:
d/dx ln x = 1/x
Therefore, the derivative of ln x equals 1/x.
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