๐Ÿ“š

All Subjects

ย >ย 

โ™พ๏ธย 

AP Calc

ย >ย 

๐Ÿค™๐Ÿฝ

Unit 3

3.4 Differentiating Inverse Trigonometric Functions

1 min readโ€ขjune 7, 2020

Jillian Holbrook


What is an Inverse Trigonometric Function? ๐Ÿค 

Inverse Trigonometric Functions are - you guessed it - Inverse Functions with some added panache! They take Inverse Functions to the next level by adding in trigonometry.ย ย 

How to Differentiate Inverse Trigonometric Functions ๐Ÿ•ต

The Main Theorem for Inverse Functions is still applicable for their Inverse Trigonometric Function counterparts.

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(458).png?alt=media&token=3effc23d-df41-410c-a2b8-2d9844467260

However, it is best to memorize the inverses of trig functions.ย You can study them in the table below:

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(466).png?alt=media&token=ecd6ad52-4da8-477a-9054-0c217cbd52ae

Remember that the inverse of trigonometric functions can be written in two different ways.ย  If we take the inverse of, for example, sin(x), then it can be written as sin^-1(x) or arcsin(x).

Was this guide helpful?

Join us on Discord

Thousands of students are studying with us for the AP Calculus AB/BC exam.

join now

Browse Study Guides By Unit

โœ๏ธ
Free Response Questions (FRQ)

๐Ÿง
Multiple Choice Questions (MCQ)

โ™พ
Unit 10: Infinite Sequences and Series (BC Only)

๐Ÿ‘‘
Unit 1: Limits & Continuity

๐Ÿค“
Unit 2: Differentiation: Definition & Fundamental Properties

๐Ÿ‘€
Unit 4: Contextual Applications of the Differentiation

โœจ
Unit 5: Analytical Applications of Differentiation

๐Ÿ”ฅ
Unit 6: Integration and Accumulation of Change

๐Ÿ’Ž
Unit 7: Differential Equations

๐Ÿถ
Unit 8: Applications of Integration

๐Ÿฆ–
Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)