How many points of inflection are on the graph of the function? f(x)=18x^3+5x^2-12x-17
Favorites|Homepage
Subscriptions | sitemap
HOME > > How many points of inflection are on the graph of the function? f(x)=18x^3+5x^2-12x-17

How many points of inflection are on the graph of the function? f(x)=18x^3+5x^2-12x-17

[From: ] [author: ] [Date: 12-02-17] [Hit: ]
Plot it on MS Excel. U will get a curve with. At (0,0) slop of curve is zero and before and after that function shows the same trend(that is increasing). Which is the definition of inflection.-A point of inflection requires f(x)=0.......
How many points of inflection are on the graph of the function?

f(x)=18x^3+5x^2-12x-17

-
Take the 2nd derivative, set it to 0, solve for x

f(x) = 18x^3 + 5x^2 - 12x - 17
f'(x) = 54x^2 + 10x - 12
f''(x) = 108x + 10
f''(x) = 0
0 = 108x + 10
108x = -10
54x = -5
x = -5/54

1 inflection point

-
Just one.
Plot it on MS Excel. U will get a curve with. At (0,0) slop of curve is "zero" and before and after that function shows the same trend(that is increasing). Which is the definition of "inflection".

-
A point of inflection requires f"(x)=0. Since f(x) is cubic f '(x) is quadratic and f "(x) is linear
so there is just one point of inflection. You should now be able to find it!

-
Here, order of polynomial(n)=3
=> points of inflection =3 Ans.
1
keywords: of,are,inflection,How,17,graph,function,12,points,18,many,the,on,How many points of inflection are on the graph of the function? f(x)=18x^3+5x^2-12x-17
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .