Differentiate cos(x^x) with respect to x...

Differentiate `cos(x^x)` with respect to `x` :

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To differentiate \( \cos(x^x) \) with respect to \( x \), we can follow these steps: ### Step 1: Identify the outer and inner functions We have \( y = \cos(u) \) where \( u = x^x \). ### Step 2: Differentiate the outer function Using the chain rule, the derivative of \( y \) with respect to \( u \) is: \[ ...

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