Current location - Training Enrollment Network - Mathematics courses - In advanced mathematics, the multivariate function is known to be fully differentiated to find the original function
In advanced mathematics, the multivariate function is known to be fully differentiated to find the original function
The integral constant c should be added to the indefinite integral result of univariate function, and the function ψ (y) of y should be added after the original function of bivariate function is integrated with x.

For example:

Find the derivative of x: 2x+2zz' x = e z+xe z' x = > x = > z' x = (2x-e z)/(xe z-2z)

Find the derivative of y: 2y+2z z 'y = xe z 'y = > y = > z 'y = 2y/(xe z-2z)

dz = z ' x dx+z ' y dy =(2x-e^z)/(xe^z-2z)dx+2y/(xe^z-2z)dy

Essence:

The essence of multivariate function is a relationship, which is a definite correspondence between two sets. The elements of these two sets can be numbers; It can also be a point, a line, a surface or a body; It also includes vectors, matrices, etc. The result corresponding to one or more elements can be a unique element, that is, a single value. It can also be multiple elements, that is, multiple values.