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find (dy)/(dx) , when y = sin u,, u = ...

find ` (dy)/(dx)` , when ` y = sin u`,, `u = e^(sqrt t)` and` t = log x `

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To find \(\frac{dy}{dx}\) given \(y = \sin u\), \(u = e^{\sqrt{t}}\), and \(t = \log x\), we will use the chain rule for differentiation. Let's go through the steps one by one. ### Step 1: Differentiate \(y\) with respect to \(u\) Given: \[ y = \sin u \] ...
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