Calculus 1 — 10.2: Power Rule for Negative and Fractional Exponents скачать в хорошем качестве

Calculus 1 — 10.2: Power Rule for Negative and Fractional Exponents

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 ───────────────────────────── ORIGINAL SOURCE ───────────────────────────── This video distills content from:    • Calculus 1 Lecture 2.2:  Techniques of Dif...   Full credit to the original creator for the educational content.