SOLUTION: determine the critical numbers and the critical points for each of the following functions:show all work A)f(x)= x3 + 3x2 -33x -35 B) g(x)=x3

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Question 63932: determine the critical numbers and the critical points for each of the following functions:show all work

A)f(x)= x3 + 3x2 -33x -35
B) g(x)=x3 - 36x
C) h(x)= x3 -3x2 -40x
Answer by funmath(2873) (Show Source):
You can put this solution on YOUR website!
determine the critical numbers and the critical points for each of the following functions:show all work

A)f(x)= x^3 + 3x^2 -33x -35
f'(x)=3x^2+6x-33

We can't solve this by factoring, so use the quadratic formula:
a=1, b=2, c=-11

and
and
:
B) g(x)=x^3 - 36x
g'(x)=3x^2-36

+\-
+\-
+\-
:
C) h(x)= x^3 -3x^2 -40x
h'(x)=3x^2-6x-40
0=3x^2-6x-40 use the quadratic formula again.
a=3, b=-6, and c=-40

and
and
and
:
Happy Calculating!!!

SOLUTION: determine the critical numbers and the critical points for each of the following functions:show all work A)f(x)= x3 + 3x2 -33x -35 B) g(x)=x3 - 36x C) h(x)= x3 -3x2 -40x