Learn how to find increasing decreasing intervals and extrema of a function

The video tutorial covers the process of finding the derivative of a function using the product and chain rules. It explains how to factor and simplify expressions, solve equations by setting them to zero, and analyze intervals to determine where the function is increasing or decreasing. The tutorial concludes with a summary of the function's behavior, identifying relative maxima and minima.

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

• Quotient Rule

• Product Rule

• Chain Rule

• Sum Rule

What is the purpose of setting the derivative equal to zero?

• To find the slope of the tangent line

• To determine the intervals of increase

• To find critical points

• To calculate the area under the curve

Which interval is checked first when analyzing the function's behavior?

• From 2 to infinity

• From 0 to 1

• From 4/3 to 2

• From negative infinity to 4/3

What does a negative times a negative result in?

• Undefined

• Positive

• Zero

• Negative

Where does the function have a relative maximum?

• At x = 0

• At x = 4/3

• At x = 3

• At x = 2