A curve is such that $y = \frac{x^5+2x+48}{x}$. Find the $x$-coordinate of the stationary point

Question

A curve is such that $y = \frac{x^5+2x+48}{x}$. Find the $x$-coordinate of the stationary point of the curve. Determine the nature of the stationary point.

Accepted Answer

(a) $x=\sqrt[5]{12}$ (b) Minimum point

Applications of Differentiation - Stationary Points and Their Nature

Applications of Differentiation - Stationary Points and Their Nature

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