Mathematics 1 Deneme Sınavı Sorusu #1357116

Which of the following is an extreme point for the function f(x)=x3-4x?


x=0

x=2

x=-2

x= (√ 2)/3

x=1


Yanıt Açıklaması:

For the extreme points the first derivative must be equal to zero. Since f(x)=x3-4x The first derivative of function f(x) will be:

f'(x)=3x2-4

Then we find the roots of the f'(x) as following:

3x2-4=0

3x2=4

x= -√ 2/3 and x= √ 2/3 are the roots of this equation. So the answer is D.

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