4 ms·
> The natural logarithm being its own derivative the derivative of ln(x) is 1/x > the derivative a radians-based sin(x) being cos(x) and so on. Make it any ot
by fat_cantor 1mo ago
> The natural logarithm being its own derivative
the derivative of ln(x) is 1/x
> the derivative a radians-based sin(x) being cos(x) and so on. Make it any other unit, and you have a mess of conversion factors worse than 2pi.
the derivative (with respect to x) of sin(x) is cos(x), regardless of units for x. Otherwise the chain rule wouldn't work
- wyager 1mo ago> the derivative (with respect to x) of sin(x) is cos(x), regardless of units for x. Not if you use "turn"-trigonometric functions, as the author suggests. turn-sin `t sin(x) = sin(2pi * x)` has `d/dx tsin(x) = 2pi * tcos(x)`.
- itemize123 1mo agosuch a weird thread because everyone seems to know what they are talking about but definitely seem to miss something. but basically one would be differentiating to 2pi x rather than x. and things will work out