Mathematics 1 Deneme Sınavı Sorusu #1254660

For the function f(x)=x²-4x+12 which of the followings is correct?


f'(x)=2x

f''(x)=0

The function has local minimum at (2,8)

The function has local maximum at (2,8)

The function has no local minimum or local maximum point


Yanıt Açıklaması:

f(x)=x²-4x+12

f'(x)=2x-4

f'(x)=2x-4=0 ›x=2

f''(x)=2, 2>0 local minimum.

f(2)=4-8+12=8

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