Get free access to over 100,000 answers and learning tools with WyzAnt!



Search 82,259 tutors
FIND TUTORS

Quotient Rule Explanation

Similar to product rule, the quotient rule is a way of differentiating the quotient, or division of functions. The quotient rule is defined as the quantity of the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator all over the denominator squared.

The Formula for the Quotient Rule

The quotient rule can be more difficult to remember because the order of functions matters. An easier way to remember it is saying "Low D High take High D Low - Cross the line and square the Low"

Quotient Rule Examples

(1) Differentiate the quotient

We take the denominator times the derivative of the numerator (low d-high). . .

Then subtract the numerator times the derivative of the denominator ( take high d-low). . .

Divide it by the square of the denominator (cross the line and square the low)

Finally, we simplify

(2) Let's do another example. Find the derivative of

A quick glance at this may fool us into thinking it requires quotient rule because of the clear numerator and denominator. If we look closely, we can see that we can rearrange this function.

The 17 is a constant, so we can pull it in front as a coefficient and use the good old power rule to differentiate.

Sign up for free to access more calculus resources like . WyzAnt Resources features blogs, videos, lessons, and more about calculus and over 250 other subjects. Stop struggling and start learning today with thousands of free resources!
Don't wait until it's too late! Get help from our calculus tutors.
Don V.
Contact Now

Message Don V.

Send Don V. a message explaining your needs and you will receive a response by email.

Please enter the tutor's email address.
Please enter the student's email address.
Please describe how you heard about us.
I have read and agree to the terms of use. *
Jac S.
Contact Now

Message Jac S.

Send Jac S. a message explaining your needs and you will receive a response by email.

Please enter the tutor's email address.
Please enter the student's email address.
Please describe how you heard about us.
I have read and agree to the terms of use. *
Jonathan S.
Contact Now

Message Jonathan S.

Send Jonathan S. a message explaining your needs and you will receive a response by email.

Please enter the tutor's email address.
Please enter the student's email address.
Please describe how you heard about us.
I have read and agree to the terms of use. *