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To find the derivative of ln(x) with respect to x, we can use the chain rule
To find the derivative of ln(x) with respect to x, we can use the chain rule.
The chain rule states that if we have a composite function f(g(x)), then the derivative of the function with respect to x is given by f'(g(x)) * g'(x).
In this case, the function f(x) = ln(x) is the outer function and the function g(x) = x is the inner function.
To find the derivative, we first find the derivative of the outer function f'(x), and then multiply it by the derivative of the inner function g'(x).
The derivative of ln(x) with respect to x is given by:
d/dx ln(x) = (1/x) * d/dx(x)
The derivative of x with respect to x is simply 1, so we have:
d/dx ln(x) = (1/x) * 1 = 1/x
Therefore, the derivative of ln(x) with respect to x is 1/x.
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