Final answer:
To determine where a function is increasing, one typically calculates the derivative to find intervals where it is positive, indicating upward slope and an increasing function. The correct answer is b) Differentiation.
Step-by-step explanation:
When determining where a function is increasing, the interval calculation typically involves differentiation. This is because the derivative of a function gives us the slope at any given point. If the derivative (slope) is positive over an interval, that means the function is increasing on that interval.
To find where the function is increasing, you would differentiate the function to find its derivative. Then, you would find the intervals where the derivative is greater than zero. These intervals where the derivative is positive indicate where the function is increasing.
The interval calculation typically involves differentiation when determining where a function is increasing. Differentiation helps us find the derivative of the function, which represents the rate of change of the function.
If the derivative is positive over a particular interval, then the function is increasing in that interval.