When differentiating with respect to

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

When differentiating ln⁡y\ln y with respect to xx, where yy is a differentiable function of xx, which of the following expressions is obtained? (a) 1y\dfrac{1}{y} (b) (ln⁡y)dydx(\ln y)\dfrac{dy}{dx} (c) 1ydydx\dfrac{1}{y}\dfrac{dy}{dx} (d) 1ln⁡ydydx\dfrac{1}{\ln y}\dfrac{dy}{dx}

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