A curve $D$ has equation $y = ax + b \ln x + \frac{c}{x},\quad x 0,$ where $a$, \(b\

Question

A curve $D$ has equation $y = ax + b \ln x + \frac{c}{x},\quad x > 0,$ where $a$, $b$ and $c$ are constants. It is given that $D$ has a stationary point at $x = \frac{3}{2}$ and the tangent to $D$ at the point where $x = 1$ is $y = x - 5$. Find the values of $a$, $b$ and $c$.[4]

Accepted Answer

$a=2$, $b=-7$, $c=-6$

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