Derivatives and Differentials

by Neal on March 20, 2009

Differentials and Derivatives

A. Letters u and v denote independent variables or functions of an independent variable; letters a and n denote constants.

B. To obtain a derivative, divide both members of the given formula for the differential by du or by dx.

derivatives_1

Differentiation of Integrals:

If f is continuous, then

derivatives_2

Chain Rule:

If y = f(u) and u = g(x), then

derivatives_3

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