Quotient Rule (Single Variable)

Calculus Tutorial

Quotient Rule (Single Variable)

Intro

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

Solution

f(x) can be broken down where:

g(x)

h(x)

and their individual derivatives are:

g'(x)

h'(x)

Now plug into the quotient rule formula:

quotient rule

solve

Reduce further for the final answer:

answer



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