Consider the function f(x) = (x-x)e. State the domain of the function. Find the x and y intercepts, if any. Find the first %3D derivative, the critical points and draw a first derivative chart labeling the intervals of increase and decrease, local and absolute extrema, if any. Find the second derivative and draw a second derivative chart showing where the function is concave up or concave down and labeling all points of inflection. Find all appropriate limits. Finally, use all the previous information to graph the function.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the function f(x) = (x - x)e. State the domain of the function. Find the x and y intercepts, if any. Find the first
derivative, the critical points and draw a first derivative chart labeling the intervals of increase and decrease, local and absolute
extrema, if any. Find the second derivative and draw a second derivative chart showing where the function is concave up or concave
down and labeling all points of inflection. Find all appropriate limits. Finally, use all the previous information to graph the function.
Transcribed Image Text:Consider the function f(x) = (x - x)e. State the domain of the function. Find the x and y intercepts, if any. Find the first derivative, the critical points and draw a first derivative chart labeling the intervals of increase and decrease, local and absolute extrema, if any. Find the second derivative and draw a second derivative chart showing where the function is concave up or concave down and labeling all points of inflection. Find all appropriate limits. Finally, use all the previous information to graph the function.
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