# How do you find all points of inflection given #y=-x^5+2x^3+4#?

##### 1 Answer

Dec 21, 2017

Inflection points at

#### Explanation:

Find the second derivative:

#y' = -5x^4 + 6x^2#

#y'' = -20x^3 + 12x#

This will have points of inflection when

#0 = -20x^3 + 12x#

#0 = -4x(5x^2 - 3)#

This means that

Hopefully this helps!