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I suppose your question is y = 6sin(x) log_{10} (x+e). Then convert log_{10}(x+e) to  \frac{log_{e}(x+e)}{log_{e}10} . Use product rule, you get this  \frac{dy}{dx} = \frac{6}{log_{e}10}(cos(x)log_{e}(x+e)+\frac{sin(x)}{x+e})
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