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Learning Derivatives: Inverse Trig Functions
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Many students have difficulty relating the inverse trig functions with their derivatives. By using a right triangle to derive some of the inverse derivatives, students can better understand these formulas. Then the students will use the inverse derivatives in the guided practice and formative assessment. The first page of the worksheet is determining derivatives containing inverse trig. The second page is determining the equation of a tangent line and finally deriving the derivative of the inverse cosine.

Concepts included in this lesson are:

· List of trig function derivatives and their inverses.

· Derivations of the derivatives for arcsin x and arctan x.

· Limits at infinity for arctan x.

· Practice evaluating derivatives of inverse trig functions.

You can print this no prep lesson and use it as an in-class activity or download the digital learning choice for distance learning students. Even if you have a hybrid class, both types of students can access this lesson.

The lesson includes:

• Graphic organizer of inverse functions, derivatives, domain, and range.

• Derivation of derivatives of arcsinx and arctanx with opportunity for students to derive arccosx

• Multiple examples.

• Guided practice.

• A formative assessment with an answer key.

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Other products on Basic Derivatives:

· More Differentiation Techniques: Warm-ups

· Fluency Choice Board on Basic Derivatives

· Lesson on the Chain Rule

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Learning Derivatives: Inverse Trig Functions

Rated 5 out of 5, based on 1 reviews
5.0 (1 rating)
learnmathwithmslyn
20 Followers
$2.50

Highlights

Digital downloads
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Grades
10th - 12th
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Subjects
Pages
12
Answer Key
Included

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The third unit in AP Calculus is “Differentiation: Composite, Implicit, and Inverse Functions.” These lessons offer students a basic understanding of the Chain Rule, Implicit Differentiation, Inverse Functions, Inverse Trig Functions, and Higher Order Derivatives. Also, students will practice solvin
Price $9.50Original Price $12.50Save $3.00
5

Description

Many students have difficulty relating the inverse trig functions with their derivatives. By using a right triangle to derive some of the inverse derivatives, students can better understand these formulas. Then the students will use the inverse derivatives in the guided practice and formative assessment. The first page of the worksheet is determining derivatives containing inverse trig. The second page is determining the equation of a tangent line and finally deriving the derivative of the inverse cosine.

Concepts included in this lesson are:

· List of trig function derivatives and their inverses.

· Derivations of the derivatives for arcsin x and arctan x.

· Limits at infinity for arctan x.

· Practice evaluating derivatives of inverse trig functions.

You can print this no prep lesson and use it as an in-class activity or download the digital learning choice for distance learning students. Even if you have a hybrid class, both types of students can access this lesson.

The lesson includes:

• Graphic organizer of inverse functions, derivatives, domain, and range.

• Derivation of derivatives of arcsinx and arctanx with opportunity for students to derive arccosx

• Multiple examples.

• Guided practice.

• A formative assessment with an answer key.

*****************************************************************************

Customer Tips:

How to get TPT credit to use on future purchases:

• Please go to your My Purchase page (you may need to login). Beside each purchase you will see a Provide Feedback button. Simply click it and you will be taken to a page where you can give a quick rating and leave a short comment for the product. Each time you give feedback, TPT gives you feedback credits that you use to lower the cost of your future purchases. I value your feedback greatly as it helps me determine which products are most valuable for your classroom so I can create more for you. ☺

Be the first to know about my new discounts, freebies and product launches:

• Look for the green star next to my store logo and click it to become a follower. Voila! You will now receive email updates about this store. ☺

*****************************************************************************

Other products on Basic Derivatives:

· More Differentiation Techniques: Warm-ups

· Fluency Choice Board on Basic Derivatives

· Lesson on the Chain Rule

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Reviews

5.0
Rated 5 out of 5, based on 1 reviews
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Rated 5 out of 5
July 27, 2021
This is a great resource. My textbook does not look this deeply at the topic.
Sarah C.
124 reviews
Grades taught: 12th
learnmathwithmslyn
Response from
learnmathwithmslyn
(TPT Seller)
Jul 29, 2021
Hi Sarah, Thank you for the feedback. I strive to offer lessons that treat the topics in an understandable way. I also think it's important to give background knowledge to students (and teachers) because it helps them retain it better.

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