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What does "determine the domain on which the following function is increasing" refer to in calculus?

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Final answer:

In calculus, determining the domain on which a function is increasing involves finding the set of values for the independent variable on which the function's output is increasing. This is done by solving the inequality f'(x) > 0, where f'(x) is the derivative of the function.

Step-by-step explanation:

In calculus, "determine the domain on which the following function is increasing" refers to finding the set of values for the independent variable on which the function's output is increasing. A function is said to be increasing on an interval if its derivative is positive on that interval. To determine the domain of a function where it is increasing, we need to find the values of the independent variable for which the derivative is greater than zero.

For example, if we have a function f(x) and its derivative f'(x), we can find the domain on which f(x) is increasing by solving the inequality f'(x) > 0.

Once we find the values of x that satisfy the inequality, we can express the domain as intervals or as a combination of intervals.

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