Product Rule for Derivatives: Examples

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In this video I go over some useful examples in solving derivatives using the product rule.


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Product Rule for Derivatives: Examples

Product Rule for Derivatives  Examples.jpeg

Product Rule Recap

If f and g are both differentiable, then:

image.png

Example 1

If f(x) = xex , find f’(x).

Solution

image.png

Example 2

If f(x) = x1/2g(x), where g(4) = 2 and g’(4) = 3, find f’(4).

Solution

image.png

image.png

Product Rule for Derivatives: Examples | Ecency