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Differentiate w.r.t. x the function (5x)...

Differentiate w.r.t. x the function `(5x)^(3cos2x)`.

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To differentiate the function \( y = (5x)^{3 \cos(2x)} \) with respect to \( x \), we will follow these steps: ### Step 1: Take the natural logarithm of both sides We start by taking the logarithm of both sides to simplify the differentiation process. \[ \log y = \log((5x)^{3 \cos(2x)}) \] ...
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