What does it mean for a function to be differentiable on an open interval? On a closed interval?
Step 1 of 3:
In this question, we have to define the mean for a function to be differentiable on an open interval? On a closed interval?
Step 2 of 3:
Continuous functions are constantly characterized by the closed interval, and differentiable functions, dependable on open interims. For example, suppose that we need to demonstrate a property of a continuous function, it would go as "Let f be a consistent capacity on [a,b]⊂R .. for a differentiable function it would be (a,b).
At that point is the derivative of the function differentiable on the closed interval [1,4] or open interval (1,4).
Textbook: University Calculus: Early Transcendentals
Author: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.
This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. The answer to “What does it mean for a function to be differentiable on an open interval? On a closed interval?” is broken down into a number of easy to follow steps, and 18 words. Since the solution to 4E from 3.R chapter was answered, more than 232 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 4E from chapter: 3.R was answered by , our top Calculus solution expert on 08/23/17, 12:53PM. This full solution covers the following key subjects: interval, closed, function, differentiable, mean. This expansive textbook survival guide covers 113 chapters, and 6504 solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399.