Calculus - Derivatives

d/dx of ln(x)

Step-by-step solution with detailed explanations

Final Answer

1/x

Step-by-Step Solution

1

Standard derivative

Derivative of ln(x) is 1/x

Expert Insights

Inverse relationship: ln(x) and eˣ are inverses

Domain: Only defined for x > 0

Pro Tip: d/dx(ln x) = 1/x for x > 0

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Related Problems

Find derivative of x³ + 2x² - 5

Answer: 3x² + 4x

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Answer: 20x³

d/dx of sin(x)

Answer: cos(x)

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