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🔥EXPLANATION🔥: 1st one in the Limit Definition of a derivative. Its learned bc it explains what a derivative actually is. Without it, you can't understand why the other derivative rules work. The second formula is the power rule. It only works for power functions but it is a lot simpler and faster. . . . . . . #mathmemes #calculus #calculusmemes
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Day 162 — 365 Problems for 365 Days AP Calculus derivative with logarithms (quotient rule): d/dx [ x / ln(x) ] This is a high-yield calculus derivative because it mixes a rational expression with a natural log. The cleanest path is the quotient rule, but it also reinforces the key fact that d/dx ln(x) = 1/x. This exact pattern shows up in optimization, related rates, and in simplifying harder derivatives. Project Mentor helps high school students with AP self-study plans, competition prep, and r
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