Title: Product and Quotient rule:

Product Rule

If the function one wishes to differentiate, f(x), can be written as

then the product rule states that the derivative of f(x) is equal to:

Example 1:  

Quotient rule:

If the function one wishes to differentiate, f(x), can be written as

and h(x) ≠ 0, then the rule states that the derivative of f(x) is equal to:

Example 2:   

Example 3:  Compute

Solution:

Let and  Applying the quotient rule formula, we find that

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