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Derivative of y = x^n - Part 3: General Power Rule when x = 0

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Published: 24 Mar 2023 › Updated: 24 Mar 2023Derivative of y = x^n - Part 3: General Power Rule when x = 0

Derivative of y = x^n - Part 3: General Power Rule when x = 0

In this video I do a recap on the General Power Rule but this time look at what happens when x = 0, which is not defined for logarithmic functions, and which we used in deriving the general power rule. I use the Definition of Derivatives to show the derivative of y = x^n when x = 0 is just 0 and the General Power Rule still applies.

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Derivative of y = xn: General Power Rule: n is any real number

General Power Rule x = 0 Thumbnail

The case @ x = 0

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