Consider the function f(x) = eV1 - e (a) Determine the domain, the limits at the extremes of the domain and possible asymptotes. (b) Study the continuity and the differentiability of f at every point of the domain, classifying the possible points of non- differentiability and motivating the answers. (c) Determine the monotonicity intervals and the possible points of maximum and minimum, specifying whether they are local or global.
Consider the function f(x) = eV1 - e (a) Determine the domain, the limits at the extremes of the domain and possible asymptotes. (b) Study the continuity and the differentiability of f at every point of the domain, classifying the possible points of non- differentiability and motivating the answers. (c) Determine the monotonicity intervals and the possible points of maximum and minimum, specifying whether they are local or global.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The domain of the function is the set of all values in which the function is defined.
The limit of the function at a point will be the value of the function when the value of x approaches a from both left and right.
The asymptotes of the functions are the values of the function when x or y approaches infinities.
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