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AP Calculus AB›Unit 2: Differentiation›Derivative Rules

The Power Rule

To differentiate xⁿ, bring the exponent down and subtract one from it. It works for any real exponent, so rewrite roots and fractions as powers first.

Rewriting radicals as exponentsNegative and fractional powersLinearity of the derivative

21 videos · ranked by how well they teach

1
5:34

❖ Basic Derivative Rules - The Shortcut Using the Power Rule , 3 Examples ❖

973K views on YouTube · 14 years ago

Patrick J
The Power Rule
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The Power Rule For Derivatives

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The Organic Chemistry Tutor
The Power Rule
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Power rule | Derivative rules | AP Calculus AB | Khan Academy

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Khan Academy
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Mathprism
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Derivatives of Polynomial Functions: Power Rule, Product Rule, and Quotient Rule

170K views on YouTube · 8 years ago

Professor Dave Explains
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7
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Justifying the power rule | Derivative rules | AP Calculus AB | Khan Academy

153K views on YouTube · 13 years ago

Khan Academy
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8
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Calculus AB/BC – 2.5 Applying the Power Rule

115K views on YouTube · 6 years ago

The Algebros
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9
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Proof of the Power Rule

73K views on YouTube · 15 years ago

calculussuccess
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How to Find the Instantaneous Rate of Change of a Function Using the Power Rule - First Derivative

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The Organic Chemistry Tutor
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11
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How to Find the Slope of the Normal Line of a Function Using the Power Rule - First Derivative

13K views on YouTube · 7 months ago

The Organic Chemistry Tutor
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Find the Derivative Quickly Using the Power Rule

5.2K views on YouTube · 10 years ago

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AP Calculus AB - 2.5 The Power Rule

2.2K views on YouTube · 5 years ago

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The Power Rule
14
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AP Calculus AB/BC Lesson 2.5 and 2.6

1.5K views on YouTube · 4 years ago

Elizabeth Fein
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15
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Derivative Rules - Power Rule (conceptual) - AP Calculus AB

257 views on YouTube · 12 years ago

Chris Ozarka
The Power Rule
17
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AP Calculus AB Power Rule Practice Problems

216 views on YouTube · 14 years ago

charlie Lindelof
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Power Rule Integration - AP Calculus AB

180 views on YouTube · 9 years ago

Beyond The Test
The Power Rule
19
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Applying the Power Rule (AP Calculus 2.5)

38 views on YouTube · 3 months ago

Alison Dickinson
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20
18:09

AP Calculus AB/BC: The Power Rule, Product Rule, Quotient Rule, and Chain Rule

27 views on YouTube · 2 weeks ago

Everything AP Math
The Power Rule

Unit 2: Differentiation

  • The Power Rule
  • Product and Quotient Rules
  • Chain Rule
  • Implicit Differentiation
  • Derivatives of Inverse Functions
  • Related Rates
  • Mean Value Theorem
  • Optimization
L'Hôpital's Rule

Next topic

Product and Quotient Rules

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Best teachers for this topic

  1. 1The Organic Chemistry Tutor
  2. 2Khan Academy
  3. 3Patrick J
  4. 4Mathprism
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Also called: derivative of x^n, basic derivatives