(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The function f is defined as

f(x)=3x^5-10x^3+1

1) Determine the maximum and minimum points, as well the point of inflection of the graph f.

2. Relevant equations

All the differentiation equation.

3. The attempt at a solution

I found the maximum point and minimum point, but I had some trouble with the inflection point.

So....

f''(x)=60x^3-60x^2

f''(x)=0,

60x^3-60x^2=0

x=0, x=1

f'''(0)=0

Hence the only inflection point is (1,-6)

But the answer given is (0,1),(1,-6)and (-1,8). Is the answer correct?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fuction and Graph

**Physics Forums | Science Articles, Homework Help, Discussion**