Derivatives on HP 42S
08-21-2018, 06:14 AM
Post: #10
 Thomas Klemm Senior Member Posts: 1,609 Joined: Dec 2013
RE: Derivatives on HP 42S
(08-21-2018 01:35 AM)Thomas Klemm Wrote:  The flatness of the function makes it hard to numerically find the stationary points.

Here's another example: $$f(x)=\sin(x+\cos(x))$$

This is the power series expansion for $$f$$ about the point $$x=\frac{\pi}{2}$$:

$$1 - \frac{1}{72} (x - \frac{\pi}{2})^6 + \frac{1}{720} (x - \frac{\pi}{2})^8 + O((x - \frac{\pi}{2})^{10})$$