The derivative is the slope of the function image at a certain point, that is, the ordinate increment (δ y) and the abscissa increment (δ x) are at δ x->; The ratio of 0. Differential refers to the increment of the ordinate after the tangent of a function image at a certain point obtains the increment Δ x in the abscissa, which is generally expressed by dy.

The derivative is the slope of the function image at a certain point, that is, the ratio of the change rate of the ordinate to the change rate of the abscissa. Differential refers to the increment of the ordinate after the tangent of a function image at a certain point obtains δ x on the abscissa.

Extended data

The definition of differential in mathematics: from the function B=f(A), two groups of numbers A and B are obtained. In A, when dx approaches itself, the limit of the function at dx is called the differential of the function at dx, and the central idea of the differential is infinite division. Differential is the linear main part of function change. One of the basic concepts of calculus. ?

Definition:

Let the function y = f(x) be defined in the neighborhood of X, and both X and x+δ x are in this interval.

If the increment of the function Δ y = f(x+Δ x)-f (x) can be expressed as Δ y = a Δ x+o (Δ x) (where a is a constant independent of Δ x and o (Δ x) is an infinitesimal larger than Δ x), then the function f (x) is said to be in.

The differentiation of function is the main part of function increment, and it is a linear function of Δ x, so the differentiation of function is the linear main part of function increment (Δ x→ 0).

reference data

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