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Differentiate the following w.r.t. x: (c...

Differentiate the following w.r.t. x:
`(cosx)/(logx), x >0`

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AI Generated Solution

To differentiate the function \( f(x) = \frac{\cos x}{\log x} \) with respect to \( x \), we will use the quotient rule. The quotient rule states that if you have a function in the form \( \frac{u}{v} \), then its derivative is given by: \[ \frac{d}{dx} \left( \frac{u}{v} \right) = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2} \] Here, we identify: - \( u = \cos x \) ...
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