Differentiation Rules Quiz

What is the derivative of a constant function?

• The constant itself

• Zero

• One

• The variable

In the power rule, what happens to the exponent of a term?

• It is doubled

• It is reduced by one

• It remains the same

• It is increased by one

How do you find the derivative of a polynomial using the sum and difference rule?

• By using the quotient rule

• By adding all coefficients

• By taking the derivative of each term separately

• By multiplying all exponents

What is the first step in applying the product rule?

• Multiply the functions

• Add the functions together

• Leave the first function alone and differentiate the second

• Differentiate both functions

Which of the following is NOT part of the product rule?

• Square the first function

• Leave the first function alone

• Differentiate the second function

• Add the derivatives

What is the mnemonic used to remember the quotient rule?

• High D Low minus Low D High

• Low D High minus High D Low

• Multiply the derivatives

• Add the derivatives

In the quotient rule, what must you remember to do with the denominator?

• Multiply it by the numerator

• Add it to the numerator

• Square it

• Differentiate it

What is the notation for the second derivative of a function?

• f''(x)

• f(x)^2

• f'(x)

• f(x)'

How is the nth derivative of a function typically denoted?

• f^n(x)

• f(x)^n

• f(n)(x)

• f'(x)^n

What is the third derivative of a function often called?

• Quadruple prime

• First derivative

• Second derivative

• Triple prime