## Section 4.3 - Derivatives of Inverse Trigonometric Functions

**Essential Question(s):**

What similarities and differences exist between the derivatives of the inverse trigonometric functions?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your Cornell notes.

__Derivatives of Inverse Functions__

- What is the derivative of inverse functions? (pg 173)

__Derivative of Arcsine__

- What is the derivative of arcsine? (pg 174)
- How do you find the derivative of arcsine? (Ex 1 pg 175)

__Derivative of Arctangent__

- What is the derivative of arctangent? (pg 175)
- How do you find the derivative of arctangent? (Ex 2 pg 175)

__Derivative of Arcsecant__

- What is the derivative of arcsecant? (pg 175)
- How do you find the derivative of arcsecant? (Ex 3 pg 176)

__Derivatives of the Other Three__

- What is the derivative of arccosine, arctangent, and arcsecant? (pg 176) (IMAGE)
- How do you find a tangent line to an arccotangent curve? (Ex 4 pg 177)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 173 - 177.
- Make sure to read the paragraphs between the examples and sidebar snippets.