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« Common derivatives formulas - exercises
Chain Rule »
Differentiation: (lesson 2 of 3)

Product and Quotient Rule for Derivatives

Product Rule

Let f(x) and g(x) be differentiable at x. Then h(x) = f(x)g(x) is differentiable at x and

Product Rule

We illustrate product rule with the following examples:

Example 1:  

Product Rule Example

Example 2:  

Product Rule Example

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exercisie
answer 1 answer 2 answer 3 answer 4

Quotient rule:

Let f(x) and g(x) be differentiable at x with g(x) ≠ 0 . Then f(x)/g(x) is differentiable at x and

Product Rule Example

We illustrate quotient rule with the following examples:

Example 3: Differentiate Quotient Rule Example

Solution 3: 

Quotient Rule Solution

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exercisie
answer 1 answer 2 answer 3 answer 4

Example 4: Differentiate Quotient Rule Example

Solution 4: 

Quotient Rule Solution

Try yourself
exercisie
answer 1 answer 2 answer 3 answer 4

Example 5: Differentiate Quotient Rule Example

Solution 5: 

Quotient Rule Solution

Try yourself
exercisie
answer 1 answer 2 answer 3 answer 4

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