My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

Thanks Tree2Thanks
  • 2 Post By skipjack
LinkBack Thread Tools Display Modes
February 18th, 2019, 12:53 PM   #1
MikeAndIke's Avatar
Joined: Feb 2019
From: N/A

Posts: 18
Thanks: 0

Math Focus: Calculus
Exclamation "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?
MikeAndIke is offline  
February 18th, 2019, 03:44 PM   #2
Global Moderator
Joined: Dec 2006

Posts: 20,973
Thanks: 2224

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).
Thanks from topsquark and MikeAndIke
skipjack is offline  

  My Math Forum > College Math Forum > Calculus

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" SedaKhold Calculus 0 February 13th, 2012 11:45 AM
sample exeriment-need help finding "statistic" and "result" katie0127 Advanced Statistics 0 December 3rd, 2008 01:54 PM

Copyright © 2019 My Math Forum. All rights reserved.