Stop making this common Calculus mistake! Many students think the derivative of log_a(x) is just 1/x, but that is only true for the natural log (ln).
In this video, we clarify the exact formula for the derivative of a logarithm with any base ‘a’. We break down the change of base rule and show you why that extra ln(a) term is essential.
What you will learn:
The difference between frac{d}{dx} ln(x) and frac{d}{dx} log_a(x).
How to use the Change of Base formula.
The final correct derivative: frac{1}{x ln(a)}.
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#Calculus #MathTricks #Derivatives #Logarithms #MathHelp #ExamPrep
