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Inverse Trig Derivatives - Printable Math Worksheets grade 12 - Wayground

Inverse Trig Derivatives

HSI FERNANDEZ

Created by HSI FERNANDEZ

12 questions

10th - 12th Grade

Math

Updated Oct 2026

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Inverse Trig Derivatives

Total questions: 12

Name
Class
Date
1.
Question Image



(a)  

2.
Question Image

a)

−47-\frac{4}{\sqrt{7}}

b)

47\frac{4}{\sqrt{7}}

c)

−47-\frac{4}{7}

d)

47\frac{4}{7}

3.
Question Image

a)

−415-\frac{4}{15}

b)

415\frac{4}{\sqrt{15}}

c)

415\frac{4}{15}

d)

−415-\frac{4}{\sqrt{15}}

4.
Question Image

a)

11−x2\frac{1}{1-x^2}

b)

11+x2\frac{1}{1+x^2}

c)

11−x2\frac{1}{\sqrt{1-x^2}}

d)

11+x2\frac{1}{\sqrt{1+x^2}}

5.
Question Image



(a)  

6.
Question Image



(a)  

7.
Question Image



(a)  

8.
Question Image

a)

f′(x)=−2x1+x4f'\left(x\right)=-\frac{2x}{1+x^4}

b)

f′(x)=2x1+x4f'\left(x\right)=\frac{2x}{1+x^4}

c)

f′(x)=2x1−x4f'\left(x\right)=\frac{2x}{1-x^4}

d)

f′(x)=−2x1−x4f'\left(x\right)=-\frac{2x}{1-x^4}

9.
Question Image

a)


f′(x)=−4x31−x8f'\left(x\right)=-\frac{4x^3}{\sqrt{1-x^8}}

b)

f′(x)=4x31−x8f'\left(x\right)=\frac{4x^3}{\sqrt{1-x^8}}

c)

f′(x)=−4x31−x8f'\left(x\right)=-\frac{4x^3}{1-x^8}

d)

f′(x)=4x31−x8f'\left(x\right)=\frac{4x^3}{1-x^8}

10.
Question Image



(a)  

11.
Question Image



(a)  

12.
Question Image

a)

f′(x)=−2x1+x4f'\left(x\right)=-\frac{2x}{\sqrt{1+x^4}}

b)

f′(x)=2x1+x4f'\left(x\right)=\frac{2x}{\sqrt{1+x^4}}

c)

f′(x)=−2x1+x4f'\left(x\right)=-\frac{2x}{1+x^4}

d)

f′(x)=2x1+x4f'\left(x\right)=\frac{2x}{1+x^4}

WaygroundAnswer Key

Inverse Trig Derivatives

Total questions: 12

1.
9/13
2.
a)

−47-\frac{4}{\sqrt{7}}

3.
d)

−415-\frac{4}{\sqrt{15}}

4.
c)

11−x2\frac{1}{\sqrt{1-x^2}}

5.
5/3
6.
4/7
7.
-4/3, 4/-3
8.
b)

f′(x)=2x1+x4f'\left(x\right)=\frac{2x}{1+x^4}

9.
a)


f′(x)=−4x31−x8f'\left(x\right)=-\frac{4x^3}{\sqrt{1-x^8}}

10.
4/5
11.
16/23
12.
d)

f′(x)=2x1+x4f'\left(x\right)=\frac{2x}{1+x^4}