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Which expression represents the difference quotient of the function f (x) = negative StartRoot 2 x EndRoot?

Which expression represents the difference quotient of the function f x negative StartRoot 2 x EndRoot class=

Respuesta :

[tex]\\ \sf\longmapsto f(x)=\sqrt{2x}[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{1}{-(\sqrt{2x+2h}-\sqrt{2x})}[/tex]

  • There we plot 2h because if we break root over then it becomes √2h which satisfies f(x)

[tex]\\ \sf\longmapsto \dfrac{1}{-\sqrt{2x+2h}+\sqrt{2x}}[/tex]

Option D

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