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Derivative of y = x^n: Power Rule Part 1: n is a Positive Integer

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Published: 21 Mar 2023 › Updated: 21 Mar 2023Derivative of y = x^n: Power Rule Part 1: n is a Positive Integer

Derivative of y = x^n: Power Rule Part 1: n is a Positive Integer

In this video I derive an expression for the derivative of any power function f(x) = xn where n is a positive integer. In later videos I show that this is applicable to all values of n.

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Derivative of Power Functions – Part 1

Derivative of Power Functions Part 1 Resized AI.jpg

f(x) = xn where n is a positive integer

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Example

Derivative of y = x6

Solution:

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