What is the derivative of f(x) = ln(x) with respect to x for x > 0?
Answer and explanation
Correct answer: B. 1/x
- Step 1: The standard derivative of natural logarithm ln(x) is 1/x. Step 2. d/dx [ln x] = 1/x for all x > 0. Answer: 1/x. Why not the others: x is the argument; 1/(x^2) is the derivative of -1/x; e^x is its inverse function's derivative.
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