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प्रश्न
Which derivative correctly represents differentiating \[\ln y\] carefully?
पर्याय
\[\frac{d}{dx}(\ln y)=y\frac{dy}{dx}\]
\[\frac{d}{dx}(\ln y)=\frac{1}{y}\frac{dy}{dx}\]
\[\frac{d}{dx}(\ln y)=\ln\left(\frac{dy}{dx}\right)\]
\[\frac{d}{dx}(\ln y)=\frac{dy}{dx}\]
MCQ
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उत्तर
Because \[y\] is a function of \[x\], the chain rule is required. Therefore the derivative of \[\ln y\] is \[\frac{1}{y}\frac{dy}{dx}\].
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