## Derivative of ln x

### The derivative of ln x (the natural logarithm of x) can be found using the chain rule of differentiation

The derivative of ln x (the natural logarithm of x) can be found using the chain rule of differentiation.

Let’s start by differentiating the natural logarithm function, which is given by y = ln x.

Using the definition of the natural logarithm, we can write x = e^y. Now, take the derivative of both sides with respect to x:

1 = (e^y) * dy/dx

Since we want to find dy/dx, we rearrange the equation:

dy/dx = 1 / (e^y)

But we know that x = e^y, so we can substitute this back in:

dy/dx = 1 / x

Therefore, the derivative of ln x with respect to x is 1/x.

In mathematical notation, we can write:

d/dx (ln x) = 1/x

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