3 Given the function fx 2x312x226x 2 find the x and y coord

3. Given the function f(x) 2x3-12x2+26x - 2, find the x and y coordinates of all inflection points. Inflection points are found by setting the second derivative equal to zero. 12-6 Copyright © 2015 Pearson Education, Inc.

Solution

f(x)=2x³-12x²+26x-2

f\'(x)= 6x²-24x+26

f\"(X)=12x -24

Inflection points, f\"(x)=0

1x-24=0

x=2

f(2)=2(2)³-12(2)²+26(2)-2 = 18

Inflection point (2,18)