5. Let f(x) = |cosx),x € (0,21). Determine that where the function S is differentiable, and where it is not differentiable in the interval (0,2n). Also, find the derivative at the points of differentiability.
5. Let f(x) = |cosx),x € (0,21). Determine that where the function S is differentiable, and where it is not differentiable in the interval (0,2n). Also, find the derivative at the points of differentiability.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![5. Let f(x) = [cosx], x E (0,2n). Determine that where the function f is differentiable, and where it
is not differentiable in the interval (0,27). Also, find the derivative at the points of
differentiability.
Let f be a function defined on the real line R and suppose that it satisfies the condition
If(x) – f)I< (x – y)?
for all x, y e R.
Prove that f is a constant function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9934bc62-9cc4-46f8-9b19-4c5201f6bc08%2Fe4369a1c-f3c9-430f-a152-ce43ceb79da3%2Fbzyyfp4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Let f(x) = [cosx], x E (0,2n). Determine that where the function f is differentiable, and where it
is not differentiable in the interval (0,27). Also, find the derivative at the points of
differentiability.
Let f be a function defined on the real line R and suppose that it satisfies the condition
If(x) – f)I< (x – y)?
for all x, y e R.
Prove that f is a constant function.
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