Quiz about Inverse Trig Derivatives Integrals and More

Question 1

Question 1.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 2

Question 2.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 3

Question 3.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Question 4

$$\frac{d}{dx} an^{-1}\left(x ight)$$

Accepted Answer

$$\frac{1}{1+x^2}$$

Answer

$$\frac{1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{-1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{1}{1-x^2}$$

Question 5

$$\frac{d}{dx}\arctan\left(x\right)$$

Accepted Answer

$$\frac{1}{1+x^2}$$

Answer

$$\frac{1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{-1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{1}{1-x^2}$$

Question 6

$$\frac{d}{dx}\arccos\left(x\right)$$

Accepted Answer

$$\frac{-1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{1}{1+x^2}$$

Answer

$$\frac{1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{1}{1-x^2}$$

Question 7

$$\frac{d}{dx}\cos^{-1}\left(x\right)$$

Accepted Answer

$$\frac{-1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{1}{1+x^2}$$

Answer

$$\frac{1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{1}{1-x^2}$$

Question 8

$$\frac{d}{dx}\arcsin\left(x\right)$$

Accepted Answer

$$\frac{1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{1}{1+x^2}$$

Answer

$$\frac{-1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{1}{1-x^2}$$

Question 9

$$\frac{d}{dx}\sin^{-1}\left(x\right)$$

Accepted Answer

$$\frac{1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{1}{1+x^2}$$

Answer

$$\frac{-1}{\sqrt[]{1-x^2}}$$

Answer

$$\frac{1}{1-x^2}$$

Question 10

Question 10.

Accepted Answer

Substitute upper bound into x, multiply by derivative of the upper bound

Answer

3-x2

Answer

Limit to infinity

Answer

Take antiderivative, evaluate integral

Question 11

Question 11.

Accepted Answer

Substitute in upper bound, multiply by derivative of the upper bound

Answer

Take the anti-derivative, evaluate

Answer

x2-a

Answer

Limit to infinity

Question 12

Average rate of change

Accepted Answer

Option A is correct

Answer

B.

Question 13

Average Value

Accepted Answer

Option B is correct

Answer

A.

Question 14

Question 14.

Accepted Answer

Average rate of change

Answer

Average value

Question 15

Question 15.

Accepted Answer

Average value

Answer

Average rate of change

Question 16

Question 16.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 17

Question 17.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 18

Question 18.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 19

Question 19.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 20

Question 20.

Accepted Answer

Distance

Answer

Displacement

Answer

Position

Answer

Acceleration

Question 21

Question 21.

Accepted Answer

Displacement

Answer

Distance

Answer

Position

Answer

Acceleration

Question 22

Question 22.

Accepted Answer

Position

Answer

Distance

Answer

Displacement

Answer

Acceleration

Question 23

Question 23.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 24

Question 24.

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Inverse Trig Derivatives Integrals and More

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