Question
(This is a multipart question. I got the first two parts.. I need help with the third part.) Find the inflection points of f (
(This is a multipart question. I got the first two parts.. I need help with the third part.)
Find the inflection points off(x)=x?4??+x?3???3x?2??+2. Give the values ofxin increasing order.
A pointpat which the graph of a function changes concavity is called an inflection point. At the inflection point,f?????=0or is undefined.
(a) I got this part. These answers are correct.
To start this problem, we need to find the first and second derivatives off(x)=x?4??+x?3???3x?2??+2.
f????(x)=4x?3??+3x?2???6x
f?????(x)=12x?2??+6x?6
(b) (I also got this part.)
We foundf?????(x)=12x?2??+6x?6=0.
Now solve this equation forx.Give the values ofxin increasing order.
Answer: -1, 1/2
(c) THIS IS THE PART I NEED HELP WITH. CHOOSE 0 FOR EACH PART.
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