Question

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Answer 1

`-1/x^2`

Explanation:

First, let's simplify the expression on the right:

`1/√(x^2)=1/x`

Next, rewriting 1/x as x⁻¹, we can use the power rule to differentiate both sides with respect to x:

`y=x^(-1)\\dy/dx=d/dx(x^(-1))\\dy/dx=-x^(-2)=-1/x^2`