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Find the derivatives of sums, products, and quotients.
Remarks
Example 1: Find the derivative of the function f(x)= xcos(x).Example 2: Using the quotient rule for derivatives, show that the derivative of f(x) = tan(x) is f '(x) =
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General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Calculus
Cluster: Level 1: Recall
Cluster: Differential Calculus - Develop an understanding of the derivative as an instantaneous rate of change, using geometrical, numerical, and analytical methods. Use this definition to find derivatives of algebraic and transcendental functions and combinations of these functions (using, for example, sums, composites, and inverses). Find second and higher order derivatives. Understand and use the relationship between differentiability and continuity. Understand and apply the Mean Value Theorem. Find derivatives of algebraic, trigonometric, logarithmic, and exponential functions. Find derivatives of sums, products, and quotients, and composite and inverse functions. Find derivatives of higher order, and use logarithmic differentiation and the Mean Value Theorem.
Date Adopted or Revised: 02/14
Content Complexity Rating:
Level 1: Recall
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More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Related Courses
This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
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Related Resources
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Tutorials
Student Resources
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Tutorials
Using the Product Rule and the Chain Rule:
In this video we will use the chain rule and the product rule together to find a derivative of a composite function.
Type: Tutorial
The Product Rule for Derivatives:
In this video will will apply the product rule to find the derivative of two functions.
Type: Tutorial
Product Rule for More Than Two Functions:
In this video, we will use the product rule to find the derivative of the product of three functions.
Type: Tutorial
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