Derivatives on HP 42S

[Thomas Klemm]

Here's another example:

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

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

Code:

LBL "dF"
MVAR "x"
MVAR "h"
RCL "x"
RCL "h"
COMPLEX
SIN
LASTX
E↑X
Y↑X
COMPLEX
END

Set MODES to RAD.
Start SOLVER.
Select Solve Program: dF
Set small value h: 1E-6 h
Set lower guess: 14.13 x
Set upper guess: 14.14 x
Solve for x: x

x=14.137167

Cheers
Thomas