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Find the derivatives of functions, including algebraic, trigonometric, logarithmic, and exponential functions.
Remarks
Example 1: Find
for the function 
.Example 2: Find
for the function y = ln(x).
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
-
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))
Related Access Points
Alternate version of this benchmark for students with significant cognitive disabilities.
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
Derivative of Log with Arbitrary Base:
In this video, we will find the derivative of a log with an arbitrary base.
Type: Tutorial
Chain Rule for Derivative of 2^x:
Here we will see how the chain rule is used to find the derivative of a logarithmic function.
Type: Tutorial
Chain Rule With Triple Composition:
We will use the chain rule to find the derivative of a triple-composite function.
Type: Tutorial
Parent Resources
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