Answer to Question #187411 in Calculus for Kofi

Question

y=3√x−1/x2+ 1

Answer 1

$y=3\sqrt{x}-\dfrac{1}{2x}+1$

$\dfrac{dy}{dx}=3\bigg(\dfrac{1}{2}\times\dfrac{1}{\sqrt{x}}\bigg)-\dfrac{1}{2}(-1)\dfrac{1}{x^2}+0$

$y'=\dfrac{3}{2\sqrt{x}}+\dfrac{1}{2x^2}$