Derivatives on HP 42S

[Albert Chan]

(08-20-2018 07:43 AM)Thomas Klemm Wrote:  Here's another example:

\(f(x)=\sin(x)^{e^x}\)

Search for \(\max(f(x))\) for \(x\in[14.13, 14.14]\).

x=14.137167

Why would search for slope of 0 get the maximum ?

Should it get the minimum, at x = 14.13 ?
Slope at 14.13 = 5.2e-12

Also, Why use complex numbers to search real extremums ?