What are the points of inflection of #f(x)=x^5 - 2x^3 +4x#?
1 Answer
Apr 21, 2017
The points of inflection of
Explanation:
Use power rule to find
#f(x)=x^5-2x^3+4x#
#f'(x)=5x^4-6x^2+4#
#f''(x)=20x^3-6x#
For points of inflection, set second derivative equal to zero:
Using zero product rule :
Double check that these answers are actual points of inflection by testing values in between these intervals (or draw a "sign line", as some call it).
Thus, the points of inflection of