BASIC CALCULUS - FIRST QUIZ

STATE YOUR COMPLETE NAME IN CAPITAL LETTERS: (Example: SALVAN, JASON DAVE E.)

Evaluate responses using AI:

OFF

TRUE OR FALSE: The concept of derivative is important in calculus.

• TRUE

• FALSE

What is the first step in getting the derivative of a function by four-step rule?

• Evaluate f(x+h).

• Divide f(x+h)-f(x) by h.

• Subtract f(x+h) by f(x).

What is the final step in getting the derivative of a function by four-step rule?

• Evaluate f(x+h).

• Divide f(x+h)-f(x) by h.

• Subtract f(x+h) by f(x).

What is the derivative of a constant?

• indeterminate

• 0

• 1

• does not exist

What does the derivative of a function represent?

• The maximum value of the function

• The y-intercept of the function

• The area under the curve

• The slope of the tangent line to the curve at a point.

Which of the following DOES NOT represent the derivative of a function?

• f'(x)

• y'

• dy/dx

Which term describes the process of finding the derivative from first principles?

• Differentiation

• Integration

• Optimization

• Summation

Which rule is used to find the derivative of a product of two functions?

• Power rule

• Chain rule

• Product rule

• Quotient rule

What does the chain rule allow us to do?

• Differentiate rational functions.

• Differentiate product of functions.

• Differentiate constant functions.

• Differentiate compositions of functions.