# When using the first derivative test to find the critical points of a function, do you always have to include #x=0?#

Yes, if

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No, you don't always have to include ( x = 0 ) when using the first derivative test to find critical points of a function. Critical points occur where the first derivative is either zero or undefined. So, you only need to include ( x = 0 ) if it satisfies the conditions for a critical point according to the first derivative test (i.e., if the derivative is zero or undefined at ( x = 0 )). If the first derivative is not zero or undefined at ( x = 0 ), then it's not considered a critical point.

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