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What is the derivative formula of compound function with absolute value in higher mathematics? Why is this? There is a numerator denominator.
(lul)'=u'u/(lul) or (u'lul)/u

If you have a composite function, multiply it by the chain rule.

According to the image display,

When the independent variable is less than zero, the derivative is-1.

When the independent variable is greater than zero, the derivative is 1.

So just make a function that satisfies this condition.

The above two are

The derivative of the absolute value function is not derived, but fabricated, such as sgn(x)