Uploaded July 2026 | Updated September 2026, 1 week ago
Most calculus students memorize the quotient rule and still get it wrong, because there is a minus sign buried in it: flip the two terms and your whole answer comes out negative. The fix is the order mnemonic - low d-high minus high d-low, over low squared - and it is not even a new rule, just the product rule in disguise via f times g to the negative first. We run it on y = x/(x^2+1), simplify to (1-x^2)/(x^2+1)^2, and the numerator instantly pins the curve's peak and valley at x = 1 and x = -1.
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.
#shorts #quotientrule #brithemathguy
Most calculus students memorize the quotient rule and still get it wrong, because there is a minus sign buried in it: flip the two terms and your whole answer comes out negative. The fix is the order mnemonic - low d-high minus high d-low, over low squared - and it is not even a new rule, just the product rule in disguise via f times g to the negative first. We run it on y = x/(x^2+1), simplify to (1-x^2)/(x^2+1)^2, and the numerator instantly pins the curve's peak and valley at x = 1 and x = -1.
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.
#shorts #quotientrule #brithemathguy
