physics
posted by jon on .
The potential energy of a particle on the xaxis is given by U= 8xe ^x ^2/19 where x is 1 meter and U is in Joules. Can you explain for me how to find the point on the xaxis for which the potential is a maximum or minimum and is this answer a point of maximum potential energy or minimum potential energy? Please show me how to figure this. Thanks

You use your calculus.
dU/dx, set to zero, solve for x
I don't know where the 19 goes, but take the derivative, set to zero
remember d/dx (uv)= vdu/dx + u dv/dx