Final answer:
Finding extrema on a closed interval using a calculator involves the process of differentiation in calculus, where the derivative of a function is used to locate maximum and minimum values within a specific range. The correct answer to the provided question is a) Differentiation.
Step-by-step explanation:
Finding extrema on a closed interval using a calculator refers to the process of finding the highest and lowest points (maximum and minimum values) on a function within a specified range. This type of problem is a common application of differentiation in calculus. Differentiation involves finding the derivative of a function, which gives the rate of change of the function. To find extrema, you typically compute the derivative of the function to find critical points where the derivative is zero or undefined and then use the Closed Interval Method to evaluate the function at the endpoints of the interval and at the critical points within the interval.
Calculus, the mathematics of change, encompasses the study of limits, derivatives, integrals, and infinite series. The question does not relate directly to integration, series expansion, or limits, although all are parts of calculus. The focus here is on differentiation since it is the method used to find extrema on a closed interval.
In the context of engineering and many other disciplines, the understanding of extrema within certain limits is crucial to solving practical problems. Thus, the correct option for this question is a) Differentiation.