My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Thanks Tree1Thanks
  • 1 Post By skipjack
Reply
 
LinkBack Thread Tools Display Modes
February 18th, 2019, 04:46 PM   #1
Newbie
 
MikeAndIke's Avatar
 
Joined: Feb 2019
From: N/A

Posts: 18
Thanks: 0

Math Focus: Calculus
Exclamation Second Derivative Test Problem

Let h be a twice differentiable function, and let h(-4)=-3, h'(−4)=0, and h''(-4)=0.
What occurs in the graph of h at the point (-4,-3)?

So, what should I start doing first?
MikeAndIke is offline  
 
February 18th, 2019, 04:55 PM   #2
Math Team
 
topsquark's Avatar
 
Joined: May 2013
From: The Astral plane

Posts: 2,271
Thanks: 934

Math Focus: Wibbly wobbly timey-wimey stuff.
Quote:
Originally Posted by MikeAndIke View Post
Let h be a twice differentiable function, and let h(-4)=-3, h'(−4)=0, and h''(-4)=0.
What occurs in the graph of h at the point (-4,-3)?

So, what should I start doing first?
The first derivative is 0. What does that mean?

The second derivative is 0 when the first derivative is 0. What does that mean?

-Dan
topsquark is offline  
February 18th, 2019, 05:15 PM   #3
Global Moderator
 
Joined: Dec 2006

Posts: 20,969
Thanks: 2219

As the first derivative at (-4, -3) is zero, the function has a horizontal tangent there.

Further information would be needed to determine whether (-4, -3) is a turning point or a point of inflection.
skipjack is offline  
February 18th, 2019, 05:52 PM   #4
Newbie
 
MikeAndIke's Avatar
 
Joined: Feb 2019
From: N/A

Posts: 18
Thanks: 0

Math Focus: Calculus
Quote:
Originally Posted by skipjack View Post
As the first derivative at (-4, -3) is zero, the function has a horizontal tangent there.

Further information would be needed to determine whether (-4, -3) is a turning point or a point of inflection.
So is (-4,-3) a maximum or minimum point? Or is there not enough information to determine it?

Last edited by skipjack; February 18th, 2019 at 06:09 PM.
MikeAndIke is offline  
February 18th, 2019, 06:11 PM   #5
Global Moderator
 
Joined: Dec 2006

Posts: 20,969
Thanks: 2219

It could be a maximum point, minimum point or point of inflection. Further information would be needed to determine which applies.
Thanks from MikeAndIke
skipjack is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
derivative, math, mikeiketube, problem, second derivative, test



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Extreme / First-Derivative Test (Application Problem)? POISONXMITHIE Linear Algebra 1 October 20th, 2015 04:40 AM
1st derivative test mathkid Calculus 5 October 6th, 2012 07:22 PM
Maximization problem, second derivative test jbarry4335 Calculus 1 March 23rd, 2011 11:33 AM
first derivative test problem monolith Calculus 1 August 14th, 2008 02:35 AM
Maximization problem, second derivative test jbarry4335 Advanced Statistics 0 December 31st, 1969 04:00 PM





Copyright © 2019 My Math Forum. All rights reserved.