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Home Differentiation Derivatives of Rational Functions Rules for Differentiation Summarized
 
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Rules for Differentiation Summarized

The six rules for differentiation which we have proved in this section are so useful that they should be memorized. We list them all together.

 

(1)

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d(bx + c) = b dx.

(2)

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d(u + v) = du + dv.

(3)

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d(cu) = c du.

(4)

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d(uv) = u dv + v du.

(5)

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d(un) = nun-1 du (n is any integer).

(6)

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Table 2.3.1 Rules for Differentiation

An easy way to remember the way the signs are in the Quotient Rule 6 is to put u = 1 and use the Power Rule 5 with n = -1,

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Home Differentiation Derivatives of Rational Functions Rules for Differentiation Summarized

Last Update: 2006-11-05