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

in hive-196037 •  2 years ago  (edited)


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.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIichipz1n0PXTRvn0sw?e=iTIKlp

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/derivative-power-rule-part-1-n-positive-integer

Related Videos:

Definition of Derivative Simple Explanation: http://youtu.be/0rjGMpM06Eg
Derivative of y = xn - Part 2: General Power Rule: http://youtu.be/Ibvu33oh49o
Derivative of y = xn - Part 3: General Power Rule when x = 0: http://youtu.be/c2Vfuk4Xcv4 .


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I don't always derive the derivative of a power function but when I do it's usually for the simple case where the power is a positive integer ;)

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/derivative-power-rule-part-1-n-positive-integer