The Derivative Trick That Only Works Once @BriTheMathGuy
The Derivative Trick That Only Works Once  @BriTheMathGuy
Uploaded August 2026 | Updated September 2026, 2 weeks ago
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Take the little 2 in the derivative of sine squared x, drop it down inside the argument, and you land on the right answer. It is not a rule. The chain rule and the double angle identity happen to line up at that one exponent, and the same move falls apart the moment you bump the power to 3 or swap in a cosine.

This video was partially created using Manim.

Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.

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The Derivative Trick That Only Works Once

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