A curve has the equation $y = ax + \frac{b}{x^2}$, where $a$ and $b$ are constants. The c

Question

A curve has the equation $y = ax + \frac{b}{x^2}$, where $a$ and $b$ are constants. The curve has a stationary point at $(3, 4)$. Find the values of $a$ and $b$. Determine the nature of the stationary point. Find the range of values of $x$ for which $y$ is increasing.

Accepted Answer

(i) $a=\dfrac89,\ b=12$ (ii) Minimum point (iii) $x3$

Differentiation - Increasing and Decreasing Functions

Differentiation - Increasing and Decreasing Functions

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