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 Calculus Calculus Math Forum

 February 18th, 2019, 04:46 PM #1 Newbie   Joined: Feb 2019 From: N/A Posts: 18 Thanks: 0 Math Focus: Calculus 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? February 18th, 2019, 04:55 PM   #2
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 Originally Posted by MikeAndIke 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 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. February 18th, 2019, 05:52 PM   #4
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 Originally Posted by skipjack 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. 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 Tags derivative, math, mikeiketube, problem, second derivative, test Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post POISONXMITHIE Linear Algebra 1 October 20th, 2015 04:40 AM mathkid Calculus 5 October 6th, 2012 07:22 PM jbarry4335 Calculus 1 March 23rd, 2011 11:33 AM monolith Calculus 1 August 14th, 2008 02:35 AM jbarry4335 Advanced Statistics 0 December 31st, 1969 04:00 PM

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