Example Question - taylor's series

Derivatives and Series Expansion University Assignment

As this is a list of multiple questions, I'll provide the solution for one of the items: <b>To find the derivative of the function \(f(x) = \sin x \cdot \ln x\):</b> <p>\(\frac{d}{dx}(\sin x \cdot \ln x) = \sin x \cdot \frac{d}{dx}(\ln x) + \ln x \cdot \frac{d}{dx}(\sin x)\)</p> <p>\(= \sin x \cdot \frac{1}{x} + \ln x \cdot \cos x\)</p> <p>\(= \frac{\sin x}{x} + \ln x \cdot \cos x\)</p> Note: The user must specify which particular question they need solved from the list for a more detailed solution.