Math
posted by Dan on .
Given y = x^4 − 4x^2 + 50. Find any extrema and any points of inflection

f' = 4 x^3 8 x = 4x (x^22)
zero at x = 0 and x = sqrt 2 and x=sqrt 2
f" = 12 x^2  8
at zero this is 8 so a maximum
at +sqrt 2 this is +16
same at sqrt2 so those are minima
Huge positive for x large positive and for x large negative