SOLUTION: Hello, I need to see how to solve the following problem. i have several of these I need to complete and the solution to this would help me greatly! Locate the stationary poin

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Question 711165: Hello,
I need to see how to solve the following problem. i have several of these I need to complete and the solution to this would help me greatly!
Locate the stationary point(s) on the following curve and determine whether it is (they are) a minimum or maximum point(s):
y = 3x^2 � 6x.
Many thanks in advance.
Mike
Answer by tutor_paul(519) (Show Source):
You can put this solution on YOUR website!
The stationary point(s) are where the derivative of the function = 0.
So:
y=3x^2�6x
First Derivative:
dy/dx=6x-6
Equate it to zero:
6x-6=0
Solve for x:
6x=6
x=1
Plug this value of x back into the original equation to get the Y-coordinate:
y=3x^2�6x
y=3(1)�6(1)
y=-3
So your answer is:
(1,-3)
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To find out if it is a maximum or a minimum, you need to take the second derivative and determine it's sign. If second derivative is < 0, it is a max. If > 0 it is a min. I will leave that part to you.
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Good Luck,
tutor_paul@yahoo.com