Question

f(x)=(x-1)^2+5 what is the minimum value of the given function?

Answer 1

Answer

5

Explanation

Calculate critical point. That is first derivate = 0

f1 = 2(x-1)

x = 1

Calculate f2 that is second derivative. If f2 > 0 critical point is point of minima.

f2 = 2

Therefore at x = 1 we have minima.

f(1) = 5

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