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How do you differentiate natural log of (1/x) step by step please.?
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- Randy PLv 78 years ago
Chain Rule. You have ln(f(x)), with f(x) = 1/x.
By the Chain Rule, the derivative is [1/f(x)] * f'(x), and you know what f'(x), the derivative of 1/x is, right?
- Karuppasamy KLv 58 years ago
ln(1/x) = ln(1) - ln(x) = 0 - ln(x).
Hence d/dx(ln(1/x) = d/dx(-ln(x)) = - 1/ x
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