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Including results for
how to find the
derivative
of ln
.
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how to find the deritative of ln
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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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Project Mentor: free AP self-study guides, competition prep, and research/internship resources for high school students — see my bio for more info. Day 178 — 365 Problems for 365 Days AP Calculus derivative that looks simple but requires the right technique: Differentiate x^x This is the classic “variable base variable exponent” derivative. Power rule alone doesn’t work. The correct move is log differentiation: take ln of both sides, turn it into x ln x, then differentiate. This shows up constan
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