Integral of 1/x: Why It’s ln|x| + C (Not x⁰/0)
The integral of 1/x is ln|x| + C. Why the power rule fails at n = −1, why the absolute value matters, and examples like 1/(3x+2).
Tag: power rule
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Power Rule for Derivatives: Formula, Proof and 10 Examples
The power rule says d/dx xⁿ = n·xⁿ⁻¹. Learn when it applies, how to use it with roots, fractions and negative exponents, with 10 examples.
Derivative of √x: 1/(2√x) with Proof and Examples
The derivative of √x is 1/(2√x). See the power rule method, the limit proof, chain rule examples like √(x²+1), and common errors.