Question

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Answer 1

Answer:

$-1/x^2$

Step-by-step explanation:

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

$1/\sqrt{x^2}=1/x$

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

$y=x^{-1}\\dy/dx=d/dx(x^{-1})\\dy/dx=-x^{-2}=-1/x^2$