SOLUTION: Does this function have a minimum or maximum value and and then what's the value

Algebra.Com
Question 1012775: Does this function have a minimum or maximum value and and then what's the value

Found 2 solutions by macston, ikleyn:
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
y=-6x^2-1
Set the first derivative =0:
-12x=0
x=0
The x value at the minimum/maximum is 0
Use 0 as x and solve for y:
y=-6x^2-1
y=-6(0)^2-1
y=-1
The minimum/maximum is at (0,-1)
To find if it is minimum or maximum find the second derivative:
f(x)=6x^2-1 . (equation)
f'(x)=-12x . (first derivative)
f''(x)=-12 . (second derivative)
The value of the second derivative is negative, so the function
has a minimum at (0,-1) (if the value were positive, the function
would have a maximum at that point)

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Which function?


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