- #2,731
- 19,701
- 25,671
I just read that there is a program which can calculate the 19th derivative at ##x=0## in under a second of:
$$
x \longmapsto \dfrac{\sin(x^3+2x+1)+\dfrac{3+\cos(\sin(\log|1+x|))}{\exp\left(\tanh\left(\sinh\left(\cosh\left(\dfrac{\sin(\cos(\tan(\exp(x))))}{\cos(\sin(\exp(\tan(x+2))))}\right)\right)\right)\right) }}{2+\sin(\sinh(\cos(\tan^{-1}(\log(\exp(x)+x^2+3)))))}
$$
using a field extension of the real (or complex) numbers I never had heard of.
$$
x \longmapsto \dfrac{\sin(x^3+2x+1)+\dfrac{3+\cos(\sin(\log|1+x|))}{\exp\left(\tanh\left(\sinh\left(\cosh\left(\dfrac{\sin(\cos(\tan(\exp(x))))}{\cos(\sin(\exp(\tan(x+2))))}\right)\right)\right)\right) }}{2+\sin(\sinh(\cos(\tan^{-1}(\log(\exp(x)+x^2+3)))))}
$$
using a field extension of the real (or complex) numbers I never had heard of.