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How do you know whether the derivative of X is greater than zero or less than zero?
Are you talking about the left and right derivatives of x, or the derivatives around x?

In the latter case, the basic judgment method is:

1 is to bring x+deltax and x-deltax into the original derivative, and then look at the simplified symbol. deltax & gt0

2. It is more convenient to find the first derivative again, and see whether the value of the double derivative at X is greater than zero or less than zero, so that we can judge whether the first derivative is increasing or decreasing near a zero field where X is minimal, and then we can know the value near it according to the value of the first derivative at X. ..

3, the lazy way, I usually do this, bring in a bad number that is not particularly far away, you can figure it out.

4, it can also assist drawing and facilitate judgment.