1, and the derivative is the slope of the function image at a certain point, that is, the ordinate increment (δ y) and abscissa increment (δ x) are at δ x->; The ratio of 0.

2. Differential refers to the increment obtained by the ordinate after the tangent of the function image at a certain point obtains the increment Δ x on the abscissa, which is generally expressed by dy.

2 derivative

Derivative, also called derivative function value. Also known as WeChat quotient, it is an important basic concept in calculus. When the independent variable x of the function y=f(x) generates an increment δ x at the point x0, if there is a limit a in the ratio of the increment δ y of the function output value to the increment δ x of the independent variable when δ x tends to 0, then A is the derivative at x0, which is denoted as f'(x0) or df(x0)/dx.

3 differential

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.