The mean value theorem for differentiation guarantees the existing of a number c in an interval (a,b) where a function f is continuous such that the derivative at c (the instantiuous rate of change at c) equals the average rate of change over that interval.
mean value theorem of integration guarantees the existing of a number c in an interval (a,b)where a function f is continuous such that the (value of the function at c) multiplied by the length of the interval (b-a) equals the value of a the definite integral from a to b. In other words, it guarantees the existing of a rectangle (whose base is the length of the interval b-a that has exactly the same area of the region under the graph of the function f (betweeen a and b).
integration is reverse of differentiation and vice versa
An integral and an anti-derivative are the same thing. Integration means the process of finding the integral, just as anti-differentiation means the process of finding the anti-derivative.
Integration and differentiation effectively un-do each other. The derivative of the integral of a function is usually the original function. The reverse is also true, to a point.
Difference between first shifting and second shifting theorem
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
integration is reverse of differentiation and vice versa
An integral and an anti-derivative are the same thing. Integration means the process of finding the integral, just as anti-differentiation means the process of finding the anti-derivative.
Integration and differentiation effectively un-do each other. The derivative of the integral of a function is usually the original function. The reverse is also true, to a point.
Difference between first shifting and second shifting theorem
Determination is coming to a factual conclusion on a singular thing while differentiation is the difference between two or more things... So you could make a determination about the differentiation
A postulate is assumed to be true while a theorem is proven to be true. The truth of a theorem will be based on postulates.
Product differentiation
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
The difference in the distance formula and the pythagorean theorem is that the distance formula finds the distance between two points while the pythagorean theorem usually finds the hypotenuse of a right triangle.
Diversification is when someone's tight clit is sniffed and integration is when the clit is jizzed on
A differential is the result gained when mathematical differentiation is applied to a function. Differentiation in maths is the function which finds the gradient of a function in terms of x. Differentiation in biology is the specialisation of unspecialised cells such as stem cells into active cells.
In all but very exceptional cases there is no difference.