Question 711165
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