Calculus 1 — 10.2: Power Rule for Negative and Fractional Exponents
Автор: Ludium
Загружено: 2026-02-15
Просмотров: 4
Описание:
The power rule works identically for negative exponents, fractions, and radicals—the only challenge is the arithmetic. This video walks through the common traps: subtracting one from negative exponents, converting radicals to fractional form, and simplifying results back to radical notation.
Key concepts covered:
• The power rule formula applies to all real number exponents
• Arithmetic trap: subtracting 1 from negative exponents (visualized on a number line)
• Rewriting 1/x as x⁻¹ to apply the power rule
• Converting radicals using the "power over root" rule
• Differentiating √x step by step
• Converting between exponential and radical forms
• Complete worked example: differentiating 4 - 3√x
• Practice problem: finding the derivative of 1/x²
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ORIGINAL SOURCE
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This video distills content from:
• Calculus 1 Lecture 2.2: Techniques of Dif...
Full credit to the original creator for the educational content.
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