A curve has the equation $y = x^2 + \frac{2}{x^2}$. Find the coordinates of the stationary point(s

Question

A curve has the equation $y = x^2 + \frac{2}{x^2}$. Find the coordinates of the stationary point(s) on the curve. Determine the nature of the stationary point(s).

Accepted Answer

(i) $\left(\pm\sqrt[4]{2},2\sqrt2\right)$ (ii) Both are minimum points

Applications of Differentiation - Stationary Points and Their Nature

Applications of Differentiation - Stationary Points and Their Nature

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