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# What is the difference between differential and derivative in the field of calculus?

Updated: 10/18/2022

Wiki User

13y ago

The derivative refers to the rate at which a function changes with respect to another measure.

The differential refers to the actual change in a function across a parameter.

The differential of a function is equal to its derivative multiplied by the differential of the independent variable .

The derivative of a function is the the LIMIT of the ratio of the increment of a function to the increment of the independent variable as the latter tends to zero.

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### The difference between differential and derivative?

They are the same thing.

### What is the difference between differentiation and a differential equation?

Differentiation: when you differentiate a function, you find a new function (the derivative) which expresses the old function's rate of change. For example, if f(x) = 2x, then the derivative f ' (x) = 2 for all x, because the function is always increasing by 2 units for every increase of x by 1 unit.A differential equation is an equation expressing a relationship between a named function and its derivatives. This can be as simple as y = y', where y is the original function and y' the derivative.

### Could Give and explain the two basic classifications of calculus?

People often divide Calculus into integral and differential calculus. In introductory calculus classes, differential calculus usually involves learning about derivatives, rates of change, max and min and optimization problems and many other topics that use differentiation. Integral calculus deals with antiderivatives or integrals. There are definite and indefinite integrals. These are used in calculating areas under or between curves. They are also used for volumes and length of curves and many other things that involve sums or integrals. There are thousands and thousand of applications of both integral and differential calculus.

### What is the difference between anti-derivative and integral?

there is no diffference, i think...

### What is intergration in calculus?

It is taking the anti-derivative. If you don't know what that is yet, it is the same as finding the area under a graph (between the curve and an axis).

Related questions

### The difference between differential and derivative?

They are the same thing.

### Difference between integral and differential calculus?

Differential calculus is concerned with finding the slope of a curve at different points. Integral calculus is concerned with finding the area under a curve.

### What is the difference between differential continuity and absolute continuity?

What is the difference between absolute continuity and differential continuity? Do an individual's experiences affect differential continuity? Provide specific examples

### What is the difference between absolute continuity and differential continuity?

What is the difference between absolute continuity and differential continuity? Do an individual's experiences affect differential continuity? Provide specific examples

### What is the difference between differential cost and incremental cost?

There is no difference

### What is the difference between a definition and derivative?

a definition is what it means, a derivative is what it derives from, like a root word

### What is a differential cash flow?

Differential cash is the difference in cash due between selecting between different alternative options or projects.

### What is the difference between computers and calculus?

Calculus is a form of math. Computers are devices (or persons) that perform math.

### Could Give and explain the two basic classifications of calculus?

People often divide Calculus into integral and differential calculus. In introductory calculus classes, differential calculus usually involves learning about derivatives, rates of change, max and min and optimization problems and many other topics that use differentiation. Integral calculus deals with antiderivatives or integrals. There are definite and indefinite integrals. These are used in calculating areas under or between curves. They are also used for volumes and length of curves and many other things that involve sums or integrals. There are thousands and thousand of applications of both integral and differential calculus.

### What is the difference between differentiation and a differential equation?

Differentiation: when you differentiate a function, you find a new function (the derivative) which expresses the old function's rate of change. For example, if f(x) = 2x, then the derivative f ' (x) = 2 for all x, because the function is always increasing by 2 units for every increase of x by 1 unit.A differential equation is an equation expressing a relationship between a named function and its derivatives. This can be as simple as y = y', where y is the original function and y' the derivative.

### What is the difference between anti-derivative and integral?

there is no diffference, i think...

### What is intergration in calculus?

It is taking the anti-derivative. If you don't know what that is yet, it is the same as finding the area under a graph (between the curve and an axis).