SOLUTION: Hello, If y=4x^3+3x^2-36x+6 determine both values of d^2 y/dx^2 at the points where dy/dx =0 Thank you in advance.

Algebra ->  Equations -> SOLUTION: Hello, If y=4x^3+3x^2-36x+6 determine both values of d^2 y/dx^2 at the points where dy/dx =0 Thank you in advance.      Log On


   

Question 892160: Hello,
If y=4x^3+3x^2-36x+6 determine both values of d^2 y/dx^2 at the points where dy/dx =0
Thank you in advance.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=4x%5E3%2B3x%5E2-36x%2B6+
dy%2Fdx=12x%5E2%2B6x-36
%28d2y%29%2F%28dx2%29=24x%2B6
First off find the points where dy%2Fdx=0
12x%5E2%2B6x-36=0
2x%5E2%2Bx-6=0
%28x%2B2%29%282x-3%29=0
Two solutions:
x%2B2=0
x=-2
and
2x-3=0
2x=3
x=3%2F2
Now,
24%28-2%29%2B6=-48%2B6=-42
and
24%283%2F2%29%2B6=36%2B6=42