Differentiation Rules Quiz

What is the derivative of a constant function?

• The constant itself

• Zero

• The constant times x

• One

Using the power rule, what is the derivative of x^5?

• 5x^4

• 5x^5

• x^4

• x^5

According to the constant multiple rule, what is the derivative of 10x^5?

• 50x^4

• 10x^5

• 5x^4

• 10x^4

What does the sum or difference rule state about the derivative of f(x) + g(x)?

• It is the sum of the derivatives of f and g

• It is the product of the derivatives of f and g

• It is the difference of the derivatives of f and g

• It is the derivative of the sum of f and g

What is the derivative of 5x^3 - 2x^2?

• 5x^3 - 2x^2

• 15x^3 - 4x^2

• 5x^2 - 2x

• 15x^2 - 4x

How do you find the derivative of 7x^2 + 2x - 1?

• 7x + 2

• 14x + 2

• 14x^2 + 2x

• 7x^2 + 2x

What is the derivative of the square root of x?

• 1/(2√x)

• √x

• 1/√x

• 2√x

How do you express 1/x^3 in exponential form for differentiation?

• x^-3

• 1/x^3

• x^3/1

• x^3

What is the derivative of x^-3?

• -3x^-4

• 3x^-4

• -3x^3

• 3x^3

What is the simplified form of the derivative of 1/x^3?

• -3/x^4

• 3/x^4

• 3x^4

• -3x^4