Timeline for Can the third derivative tell me anything about the original function?
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| Jun 15, 2017 at 15:32 | comment | added | Barry Smith | This interpretation works if y'=0 -- the (corrected) formula for the derivative of curvature in that case reduces to just y''', i.e., the jerk IS the derivative of curvature. But if y' is nonzero, then the connection between curvature and the second derivative becomes problematic. For instance, with y=e^x, the second derivative is exponentially growing while the curvature very quickly drops to zero. So this interpretation is probably best to ignore unless the tangent line is horizontal. | |
| Jun 15, 2017 at 15:22 | history | edited | Barry Smith | CC BY-SA 3.0 |
Incorrect chain rule in derivative
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| Apr 2, 2015 at 0:11 | history | answered | Chappers | CC BY-SA 3.0 |