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For example, why does its non-derivative point need to find zero, and the specific process of finding the derivative?
Isn't the derivative function already worked out in the process of solving problems? Y'= the following formula.

Then when the denominator of this formula is 0, the derivative function is meaningless, so the points that make the denominator of the derivative function 0 are all nondifferentiable points.

Only for this function, the zero point of the denominator of the derivative function is the same as that of the original function.