Determine the extreme value of the function x^2-2x+2.
The extreme value of a function is its value at the point where the value of the...
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To establish the extreme value of a function, we'll have to calculate the first derivative of the function.
Let's find the first derivative of the function f(x):
Now we have to calculate the equation of the first derivative:
We'll divide by 2:
x-1 = 0
That means that the function has an extreme point, for the critical value x=1.
f(1) = 1^2 - 2*1 + 2
f(1) = 1-2+2
We'll eliminate like terms:
f(1) = 1
The extreme point of the function is a minimum point whose coordinates are: (1 ; 1).