Quotient Rule (Single Variable)

Calculus Tutorial

Quotient Rule (Single Variable)


The quotient rule is when a larger function is composed of two differentiable functions divided by one another like so:

quotient rule

Sample Problem

Find the first derivative of the following function:

sample problem


f(x) can be broken down where:



and their individual derivatives are:



Now plug into the quotient rule formula:

quotient rule


Reduce further for the final answer:


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