SOLUTION: Hai sir, please help me on this problem "Determine all inflection points of function f defined by, f(x) = x4 + x3 + 2 a)(0,1) and (1/2, 15/31) b)(0,1) and (1/3, 12/32) c)

Question 397766: Hai sir, please help me on this problem
"Determine all inflection points of function f defined by, f(x) = x4 + x3 + 2
a)(0,1) and (1/2, 15/31)
b)(0,1) and (1/3, 12/32)
c)(0, 2) and ( -1/2, 31/16)
d)None of these
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
==> .
Set the 2nd derivative to 0:
==> x = 0, -1/2.
When x = -1, ,
when x = -1/4, , and
when x = 1, .
Therefore there are changes of concavity in the intervals (, -1/2), (-1/2, 0), and (0, ). To find the y-coordinates, substitute x = 0 and x = -1/2 in to original function.
The answer is c.
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