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A#24,25 Name: Date: Period: Constant, Power, Product, and Quotient Rule Worksheet Find the derivative of the function. 1. y 3 4. f(x) x3 3x 2x4 5. 3. f(t) 2t2 + 3t 6 2. f(x) x + 1 7. f ( x) 3x 2 2x.

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The quotient rule for exponents is that if dividing powers with the same base, the exponents should be subtracted. For example, h^6 divided by h^2 = h^(6-2) = h^4. Subtracting the exponents is a fast, easy way to simplify the problem.

We use the power of a product rule when there are more than one variables being multiplied together and raised to a power. The power of a product rule tells us that we can simplify a power of a power by multiplying the exponents and keeping the same base.

Use the product rule for finding the derivative of a product of functions. Use the quotient rule for finding the derivative of a quotient of functions.

A Quotient Rule is stated as the ratio of the quantity of the denominator times the derivative of the numerator function minus the numerator times the derivative of the denominator function to the square of the denominator function.

The power rule to follow when finding the derivative of a variable base, raised to a fixed power. How the product rule allows us to find the derivative of a function that is defined as the product of another two (or more) functions.

Example: Find f'(x) for the following function f(x) using the quotient rule: f(x) = x2/(x+1). Answer: The derivative of x2/(x + 1) is (x2 + 2x​​​​)/(x + 1)2.

The Quotient Rule says that the derivative of a quotient is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator.

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© Copyright 1997-2025
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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
Industries
Forms in Spanish
Localized Forms
State-specific Forms
Forms Kit
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232