Step into the world of calculus where derivatives reign supreme. This quiz will take you through a series of questions designed to test your grasp on the fundamentals and intricacies of derivatives. Whether you’re a student brushing up on your skills or a math enthusiast, each question will provide a stimulating challenge. Sharpen your pencils and get ready to differentiate like a pro!

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## Derivative Quiz Questions Overview

### 1. What is the derivative of f(x) = x^2?

2x

x

2

x^2

### 2. What is the derivative of f(x) = sin(x)?

cos(x)

-cos(x)

sin(x)

-sin(x)

### 3. What is the derivative of f(x) = e^x?

e^x

xe^(x-1)

e^(x-1)

1/e^x

### 4. What is the derivative of f(x) = ln(x)?

1/x

ln(x)

x

1/(ln(x))

### 5. What is the second derivative of f(x) = x^3?

6x

3x^2

x^3

6

### 6. What is the derivative of f(x) = cos(x)?

-sin(x)

sin(x)

-cos(x)

cos(x)

### 7. What is the derivative of f(x) = 1/x?

-1/x^2

1/x^2

-x^2

x^2

### 8. What is the derivative of f(x) = tan(x)?

sec^2(x)

csc^2(x)

cot(x)

sec(x)

### 9. What is the derivative of f(x) = x^5?

5x^4

x^4

5x^5

x^5

### 10. What is the derivative of f(x) = 3x^3 + 2x^2 + x?

9x^2 + 4x + 1

9x^2 + 4x

6x + 2

3x^3 + 2x^2 + 1

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