Question

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

Answer 1

$\\ \sf\longmapsto f(x)=\sqrt{2x}$

Now

$\\ \sf\longmapsto \dfrac{1}{-(\sqrt{2x+2h}-\sqrt{2x})}$

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

$\\ \sf\longmapsto \dfrac{1}{-\sqrt{2x+2h}+\sqrt{2x}}$

Option D