Monotonic functions and bounded functions (full calculus course)

The calculus video on "Monotonic Functions and Bounded Functions" is a tutorial that explains two important concepts in calculus: monotonicity and boundedness of functions.

The video begins by defining what it means for a function to be monotonic. A function is said to be monotonic if it either always increases or always decreases over its entire domain. The video provides examples of monotonic functions and explains how to identify them using their derivatives.

The video then goes on to explain bounded functions, which are functions that have an upper and lower limit. A function is said to be bounded if there exist numbers such that the absolute value of the function is less than or equal to those numbers for all inputs. The video provides examples of bounded functions and explains how to determine whether a function is bounded or not.

The video concludes by highlighting the importance of understanding monotonicity and boundedness in calculus, particularly in the context of limits and continuity. The video also explains how these concepts can be applied in real-world situations.Overall, this video provides a clear and concise explanation of monotonic functions and bounded functions, making it a valuable resource for anyone studying calculus.