# Worksheet: Derivatives of Inverse Trigonometric Functions

In this worksheet, we will practice finding the derivatives of the inverses of trigonometric functions.

Q1:

Find .

• A, where
• B
• C, where
• D
• E

Q2:

Find , where .

• A, where
• B
• C
• D, where
• E

Q3:

Find .

• A, where
• B, where and
• C, where and
• D, where
• E, where

Q4:

Find .

• A
• B
• C
• D
• E

Q5:

Find , where .

• A, where
• B, where and
• C, where
• D, where
• E, where and

Q6:

Find .

• A, where
• B, where and
• C, where
• D, where
• E, where and

Q7:

Find , where .

• A
• B, where
• C, where
• D, where
• E

Q8:

Find .

• A
• B, where
• C, where
• D
• E, where

Q9:

Find , where .

• A
• B
• C, where
• D, where
• E, where

Q10:

Find .

• A
• B
• C, where
• D, where
• E, where

Q11:

Find , where .

• A
• B, where
• C
• D
• E, where

Q12:

Find .

• A
• B
• C, where
• D, where
• E

Q13:

Given that , find by implicit differentiation.

• A
• B
• C
• D
• E

Q14:

Find an expression for the derivative of in terms of .

• A
• B
• C
• D
• E

Q15:

Evaluate .

• A
• B
• C
• D
• E

Q16:

Evaluate .

• A
• B
• C1
• D
• E