1. continuous in all directions
2. It can be guided in all directions.
3. The sum is not zero at the same time
4.
Then, make
Prove:
As an auxiliary function
Obviously meet the conditions of Rolle theorem.
Therefore, make
Will write a parametric equation with parameters.
Represents a curve on a plane.
Represents the slope of the chord connecting the two ends of the curve.
It represents the slope of the tangent at the corresponding point on the curve.
Indicates that the tangent and chord are parallel to each other.
1. Let the function be continuous and differentiable in the domain, then, let
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Obviously, the conditions of Cauchy mean value theorem are satisfied simultaneously in the field.
Therefore, make
Surface treatment can be carried out.
2. The set is differentiable on the interval, and it is proved that it is uniformly continuous on the interval.
Certificate:
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party history
rule
Through Cauchy mean value theorem
manufacture
Consistent and continuous in the world
Consistent and continuous in the world
And it is continuous in the world, so consistent and continuous.
Uniformly continuous in interval