Derivatives of Products and Quotients

From Department of Mathematics at UTSA
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Product Rule

Let and be differentiable functions. Then, the derivative of their product, , is

.

Examples:

  • , . and , so .
  • , . and , so .

Quotient Rule

Let and be differentiable functions such that . Then, the derivative of the quotient, , is

.

Examples:

  • , . and , so .
  • , . and , so .


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