- #1
charlies1902
- 162
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Hello. I have a question regarding curvature and second derivatives. I have always been confused regarding what is concave/convex and what corresponds to negative/positive curvature, negative/positive second derivative.
If we consider the profile shown in the following picture:
https://www.princeton.edu/~asmits/Bicycle_web/pictures/vel_profile.GIF
U(y) is the velocity plotted as a function of (y).
We can see that the second derivative here is <0. DOes this correspond to negative curvature or positive and concave/convex?
If we consider the profile shown in the following picture:
https://www.princeton.edu/~asmits/Bicycle_web/pictures/vel_profile.GIF
U(y) is the velocity plotted as a function of (y).
We can see that the second derivative here is <0. DOes this correspond to negative curvature or positive and concave/convex?