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First, the derivative concept
1, when the derivative of the function at a point is infinite, it is not derivable at point a
2, derivable must be continuous, and the difference between the continuous and the derivative is not necessarily derivable:
1) the conditions are different
a, the derivative exists: as long as there is a left derivative or a right derivative, it is called the derivative existence. b. Derivable: The existence of the left and right derivatives and the equality of the left and right derivatives can be called derivable.
2) The function continuity is different
a、the derivative exists: the function in which the derivative exists is not necessarily continuous.
b. Derivable: the derivable function must be continuous; Continuous functions are not necessarily derivable, and discontinuous functions must not be derivable.
(3) The shape of the curve is different
a, the derivative exists: the curve is discontinuous, and there are sharp points or breakpoints.
b, conductive: the shape of the conductive curve is smooth and continuous. There are no sharp points, breakpoints.
Second, the law of differentiation
1, the derivative formula
2, the inverse function to derive the inverse function derivative = the reciprocal of the original function derivative
3, composite function derivation
(1) The main idea: from the outside to the inner step by step derivation
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