Log Derivative Example
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🔥 GET THIS RIGHT! DO YOU KNOW THE LOGARITHMIC TRICK? 🔥 Taking the derivative of \\bm{y = (x^2 1)^x} looks easy—until you realize both the base AND the exponent are variables! 🤯 standard power rule or exponential rules won't work here! To solve this, you need Logarithmic Differentiation 🪵⚡: 1. Take the natural log (\\bm{\\ln}) of both sides: Keywords: Logarithmic Differentiation, Derivative of Variable to Variable Power, Calculus Derivatives, Product Rule, Chain Rule, AP Calculus AB, AP Calcu
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This Calculus Derivative Looks Hard, But It's Easy by Prashant Sir
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Day 157 — 365 Problems for 365 Days AP Calculus derivative practice (log derivatives trig simplification): d/dx [ ln(sin x) ln(cos x) ] This looks like two separate chain-rule problems, but the real “aha” is what happens after you differentiate: the trig terms combine into a single compact expression using double-angle identities. Great practice for derivatives, trig identities, and simplifying results (which is where most people lose points). Project Mentor helps high school students with AP se
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