Point closest to a curve
Let a curve be the graph of $f(x)$ and $P$ some fixed point.
What is the minimum distance between $P$ and a point $Q$ on the curve?
$f(x) = \log_e(x)$, $\quad x > 0$
$P = (1,1)$, $Q=(x, f(x))$ with $x$ given by:
$x =$
Let a curve be the graph of $f(x)$ and $P$ some fixed point.
What is the minimum distance between $P$ and a point $Q$ on the curve?
$f(x) = \log_e(x)$, $\quad x > 0$
$P = (1,1)$, $Q=(x, f(x))$ with $x$ given by:
$x =$