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### Product Rule - Solved Examples

#### Example 1

Find the derivative of the following function using product rule:
Multiply the first expression with the derivative of the second one, and then add this to the product of the second expression and the derivative of the first one.
Take the derivative of each sum term by term. Factor out the constants from each term and then apply the power rule. If a term doesn’t have variables and is a constant, its derivative is zero
Simplify the expression

#### Example 2

Differentiate the following function using product rule:
Convert each radical to a rational exponent,
Multiply the second multiplicand with the derivative of the first one, and then multiply the first multiplicand with the derivative of the second one.  Add the two products
Apply power rule and take the derivative of each sum term by term,
Simplify the expression by multiplying by expanding,

#### Example 3

Find the derivative of the following:
Convert all radicals to rational exponents,
Apply the product rule,

Take the derivative of each sum one term by one term and apply power rule to each term,
Simplify the expression by expanding each product