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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 can follow these steps: ### Step 1: Take the natural logarithm of both sides We start by taking the natural logarithm of both sides to simplify the differentiation process: \[ \ln y = \ln((5x)^{3\cos(2x)}) \] ...
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