Question

What are the points of inflection, if any, of `f(x) = x^4/2 - 2x^3 + 5`?

Answer 1

Points of inflection are `(0, 5)` and `(2, -3)`

Explanation:

Determine the 2nd derivative `f'' (x)` then equate to zero.

the values of `x` are 0 and 2.

go back to the original function `f(x) =x^4/2 -2x^3 +5` to solve for the y values.