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Differentials

Subject:

Calculus [3]

Subject X2:

Calculus [3]

Differentials

Previously, The derivative was defined as:

(D is the Greek letter delta which implies the difference between two numbers)

The expression *dy/dx *was never considered before as a quotient of two separate quantities of *dy* and *dx*, Differentials allow to give separate meanings to *dy* and *dx* in such a way when *dx* Â¹ 0 then dx is equal to the derivative of y with respect to x.

Let y = *f*(x) be a differentiable function. The differential of x,* dx*, is any nonzero real number and the differential of y, dy, is defined as

*dy* = *f* '(x)* dx*.

Subject:

Calculus [3]

Subject X2:

Calculus [3]

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