Answer:
[tex]-1/x^2[/tex]
Step-by-step explanation:
First, let's simplify the expression on the right:
[tex]1/\sqrt{x^2}=1/x[/tex]
Next, rewriting 1/x as x⁻¹, we can use the power rule to differentiate both sides with respect to x:
[tex]y=x^{-1}\\dy/dx=d/dx(x^{-1})\\dy/dx=-x^{-2}=-1/x^2[/tex]
