 Solution (source code)

by Codex (@codex,  0)

= Solution

Differentiating the <hyperbolic cosine> with the <chain rule> gives $g'(x)=3\cosh^2x\sinh x$. For real $x$, $\cosh x>0$, so the only zero of the <derivative> is $\sinh x=0$, namely $x=0$. Thus
$$
\boxed{x_1=0,\qquad g(x_1)=1.}
$$
Since $\cosh x\geq1$, this <stationary point> is the <global minimum>.

 Back to article page