A curve has the equation $y = \frac{m}{x^2} + \frac{n}{x}$, where $m$ and $n$ are constan

Question

A curve has the equation $y = \frac{m}{x^2} + \frac{n}{x}$, where $m$ and $n$ are constants. The gradients of the curve at $x = \frac{1}{2}$ and $x = -2$ are $-8$ and $\frac{3}{4}$, respectively. Find the values of $m$ and $n$.

Accepted Answer

$m=1,\ n=-2$

Applications of Differentiation - Derivative as the Gradient of a Curve

Applications of Differentiation - Derivative as the Gradient of a Curve

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