Worksheet
Curated OER

The Chain Rule and an Interesting Derivative

For Students 11th - 12th
In this calculus worksheet, students use the chain rule to derive functions. They use function notations correctly as they solve word problems using the derivative. There are 3 questions.
Worksheet
Curated OER

Complex Analysis: Function

For Students Higher Ed
In this function worksheet, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page worksheet contains approximately twelve problems.
Worksheet
Curated OER

One-to-One Functions; Inverses

For Students 10th - 12th
For this functions worksheet, students determine whether or a function is one-to-one. If it is one-to-one, then they find the inverse.
Lesson Plan
Curated OER

Test on Limits and Continuity

For Teachers 11th - 12th
Students review concepts of logarithms for their test. For this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse...
Lesson Plan
Curated OER

Newton's Theory of Universal Gravitation

For Teachers 9th - 12th
Students explore how Newton tied together the gravity observed on Earth and the motion of the Moon. They apply an earlier lesson about centripetal forces.
Lesson Plan
EngageNY

Building Logarithmic Tables

For Teachers 9th - 12th Standards
Thank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the lesson plan has scholars use...
Lesson Plan
EngageNY

Why Were Logarithms Developed?

For Teachers 10th - 12th Standards
Show your class how people calculated complex math problems in the old days. Scholars take a trip back to the days without calculators in the 15th installment of a 35-part module. They use logarithms to determine products of numbers and...
Lesson Plan
Curated OER

TI-89 Activities for PreCalculus and AP Calculus

For Teachers 9th - 12th Standards
Using the TI-89 calculator, students explore the statistical, graphical and symbolic capabilities of the TI-89.  Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...
Lesson Plan
Curated OER

#3 Differential Calculus

For Teachers 12th - Higher Ed
Young scholars create models of the Mean Value Theorem.  In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem.  They illustrate the meaning of the...
Worksheet
Curated OER

Taylor and Maclaurin Series

For Students 11th - 12th
In this Taylor and Maclaurin series activity, students answer 10 questions about Taylor and Maclaurin series.  Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.
Lesson Plan
Curated OER

Review for Test

For Teachers 12th
Twelfth graders review logs and derivatives in preparation for their test. In this calculus lesson plan, 12th graders review inverse functions, log functions, derivatives of implicity and the three definitions of e. They prove...
Lesson Plan
EngageNY

Solving Exponential Equations

For Teachers 10th - 12th Standards
Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...
Worksheet
Curated OER

Challenge Discussion Sheet 10: Limits

For Students Higher Ed
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
Lesson Plan
Curated OER

Computing Indefinite Integrals

For Teachers 11th - Higher Ed
Provide your learners with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
Worksheet
Curated OER

AP Calculus Exam

For Students 10th - 11th
In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
Lesson Plan
Curated OER

Kepler's 3rd Law

For Teachers 9th - 12th
Students derive the velocity in a circular orbit of any radius. They derive the Earth escape velocity and prove Kepler's 3rd law for circular orbits # A simple formula for the orbital period in a circular Earth orbit of given radius.
Lesson Plan
Curated OER

Kepler's Third Law

For Teachers 9th - 12th
Learners use Kepler's third law to derive the velocity in a circular orbit of any radius, and identify the Earth escape velocity.
Lesson Plan
Curated OER

Identities and Trigonometric Values

For Teachers 9th - 11th
Students solve trigonometric equations. In this precalculus lesson, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.
Activity
Analyze Math

Analyze Math: Derivative of Inverse Function

For Students 9th - 10th Standards
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
Handout
Duke University

Duke University: Inverse Functions

For Students 9th - 10th Standards
This resource has links to topics explaining inverse functions. Includes the derivative of an inverse function.
Handout
Math Medics

S.o.s. Math: The Derivative

For Students 9th - 10th Standards
Very nice lesson on taking the derivative of a function and its inverse.
Activity
Other

Karl's Calculus Tutor: Derivative of Inv. Trig Functions

For Students 9th - 10th Standards
This site provides a general overview of the derivative of inverse trig trunctions. Content includes a proof, exercises, and more.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Derivatives of Inverse Trig Fx

For Students 9th - 10th
Here is a site that clearly and thoroughly explains how to find the derivatives of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: More Rules for Derivatives

For Students 9th - 10th
Here is a site that clearly and thoroughly explains the quotient rule, implicit differentiation, and derivatives of inverse functions. There are example problems solved, problems for the student to attempt, and answers to the student...