The line $x - 2y + k = 0$ is the tangent to the curve $y = 6 + \frac{m}{x}$ at the point where&n

Question

The line $x - 2y + k = 0$ is the tangent to the curve $y = 6 + \frac{m}{x}$ at the point where $x = \frac{1}{2}$. Given that $m$ and $k$ are constants, find the values of $m$ and $k$.

Accepted Answer

$m=-\dfrac18,\ k=11$

Differentiation - Tangents and Normals at a Point

Differentiation - Tangents and Normals at a Point

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