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Differentiate the following : (i) (the...

Differentiate the following :
(i) `(theta)/(tan theta)`

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To differentiate the function \( y = \frac{\theta}{\tan \theta} \), 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: \[ \frac{dy}{d\theta} = \frac{v \frac{du}{d\theta} - u \frac{dv}{d\theta}}{v^2} \] where \( u = \theta \) and \( v = \tan \theta \). ...
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