PURE MATHEMATICS - Differential Calculus

 

The Product Rule

 

 

The Product Rule Equation

example #1

example #2

example #3

 

 

 

The Product Rule Equation

 

Gottfried Leibniz is credited with the discovery of this rule which he called Leibniz's Law.

 

Simply, if u and v are two differentiable functions of x, then the differential of uv is given by:

 

 

 

 

This can also be written, using 'prime notation' as :

 

 

 

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Example #1 Differentiate (x2+1)3(x3+1)2

 

 

 

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Example #2 Differentiate y = (x2 - 4)(x + 3)2

 

 

 

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Example #3 Differentiate

 

 

 

 

 

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