Critical Points- Calculus question?

I'm finding the critical points of the function: Arctan(x^(2)-7x+2). I'm getting the derivative to be

2x-7/1+(x^(2)-7x+2)^2

The answers identify only one key point which is found when I put the numerator equal to zero. Why can the denominator not equal zero/ why can there be no critical values coming from the denominator?

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