Given that $\displaystyle y=\frac{x^3}{3}-x^2+x $, find $\displaystyle \frac{dy}{dx}$. Hence show that $\displaystyle \frac{dy}{dx}\geq 0$ for all x.

Please show complete working out. Any help will be appreciated.

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- Jan 15th 2010, 09:50 PMMr RayonDerivatives question
Given that $\displaystyle y=\frac{x^3}{3}-x^2+x $, find $\displaystyle \frac{dy}{dx}$. Hence show that $\displaystyle \frac{dy}{dx}\geq 0$ for all x.

Please show complete working out. Any help will be appreciated. - Jan 15th 2010, 10:03 PMGusbob