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If f(x)=x|x|, then prove that f^(prime)(...

If `f(x)=x|x|,` then prove that `f^(prime)(x)=2|x|`

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To prove that \( f'(x) = 2|x| \) for the function \( f(x) = x|x| \), we will use the product rule of differentiation. Let's go through the steps: ### Step 1: Write the function We start with the function: \[ f(x) = x |x| \] ...
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