PURE MATHEMATICS - Differential Calculus

 

The Quotient Rule

 

 

The Quotient Rule Equation

example #1

example #2

example #3

 

 

 

The Quotient Rule Equation

 

This is a variation on the Product Rule(Leibniz's Law) from the previous topic.

 

As with the Product Rule, , if u and v are two differentiable functions of x, then the differential of u/v is given by:

 

 

 

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

 

 

 

 

 

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Example #1 Differentiate:

 

 

 

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Example #2 Differentiate

 

 

 

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Example #3 Differentiate:  

 

 

 

 

 

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