February 18th, 2019, 06:32 PM  #1 
Newbie Joined: Feb 2019 From: N/A Posts: 18 Thanks: 0 Math Focus: Calculus  Second Derivative Test Problem 2
Let f be a twice differentiable function,and let f(1)=7, f'(1)=0, and f''(1)=2. What occurs in the graph of f at the point (1,−7)? I believe the answer is that (1,7) has a maximum point judging by the second derivative shown above. Am I correct? Last edited by skipjack; February 18th, 2019 at 06:56 PM. 
February 18th, 2019, 06:58 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,629 Thanks: 2077 
Yes, (1, 7) is a local maximum point.

February 18th, 2019, 07:02 PM  #3 
Newbie Joined: Feb 2019 From: N/A Posts: 18 Thanks: 0 Math Focus: Calculus  Thank you, I was once struggling this new course, but thanks to people like you, I can actually learn what I did right or wrong without having to pay for it online. By the way,does this website have a youtube channel by any chance?

February 19th, 2019, 05:22 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,629 Thanks: 2077 
No.


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