47.6k views
2 votes
Explain differentials. Explain the difference between ∆y and dy, is there difference between ∆x and dx?

User RexE
by
7.5k points

1 Answer

3 votes

Given:

∆y and dy.

∆x and dx.

Required:

To explain the difference between ∆y and dy, is there difference between ∆x and dx.

Step-by-step explanation:

∆y and dy are same, dy/dx is the differentiation of y with respect to x or dx/dy is the differentiation of x with respect to y.

Whereas del y is the partial differential of x where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

In the same way ∆x and dx are same, dx/dy is the differentiation of x with respect to y or dy/dx is the differentiation of y with respect to x.

Whereas del x is the partial differential of y where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

Final Answer:

∆y and dy are same, dy/dx is the differentiation of y with respect to x or dx/dy is the differentiation of x with respect to y.

Whereas del y is the partial differential of x where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

In the same way ∆x and dx are same, dx/dy is the differentiation of x with respect to y or dy/dx is the differentiation of y with respect to x.

Whereas del x is the partial differential of y where we differentiate only one at a time keeping the other variables constant and we partially differentiate all to find who differential.

User Xst
by
7.3k points