
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
February 18th, 2019, 12:53 PM  #1 
Newbie Joined: Feb 2019 From: N/A Posts: 18 Thanks: 0 Math Focus: Calculus  "Finding Inflection Points" Math Problems Help 3
Ok this other inflection problem: Let h(x)=x^5+5x^4. For what values of x does the graph of h have a point of inflection? I am stuck on what to do after the second derivative which I found was: 6x^1+60x^2. I tried to factor it which gave me: 6(10x^2+x), but then I don't now how else to factor it until it becomes separated by two parentheses like my other previous problems. Could you help me out with the next steps? 
February 18th, 2019, 03:44 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,629 Thanks: 2077 
The first derivative of h is 5x^4 + 20x^3, so the second derivative is 20x³ + 60x², which is 20x²(x + 3). There is a point of inflection at x = 3 (the first derivative has a turning point there), but not at x = 0 (the first derivative doesn't have a turning point there). 

Tags 
derivatives, finding inflection points, inflection points, math, mikeiketube, problems 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
"Finding Inflection Points" Math Problems Help  MikeAndIke  Calculus  2  February 18th, 2019 07:44 AM 
Best theory book to accompany "Problems in Mathematical Analysis Demidovich"  JoseTorero  Calculus  6  November 13th, 2018 09:23 AM 
Can anyone help me finding this book "Evariste Galois "Toti"  johnmath  Math Books  6  January 27th, 2013 03:13 PM 
A "simple" application of dirac delta "shift theorem"...help  SedaKhold  Calculus  0  February 13th, 2012 11:45 AM 
sample exerimentneed help finding "statistic" and "result"  katie0127  Advanced Statistics  0  December 3rd, 2008 01:54 PM 