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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: dommariesolomon on May 24, 2018, 05:15:53 pm

Title: How do u differentiate logs?
Post by: dommariesolomon on May 24, 2018, 05:15:53 pm: Heyyy can someone explain how to differentiate

xloge(2x)

Thanks!
Title: Re: How do u differentiate logs?
Post by: RuiAce on May 24, 2018, 05:17:32 pm: Quote from: dommariesolomon on May 24, 2018, 05:15:53 pm
Heyyy can someone explain how to differentiate

xloge(2x)

Thanks!
$\text{Your question requires the product rule.}\\ \text{But note that the rule is }\frac{d}{dx} \log_e x = \frac1x.$
\begin{align*}\frac{d}{dx} x\log_e (2x) &= x \times \frac{2}{2x} + 1 \times \log_e(2x)\\ &= 1 + \log_e(2x) \end{align*}

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