For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph. k(x) = 3x² + 4x³

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Ll.30.

 

For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a
relative minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates
of any points of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the
graph.
k(x) = 3x² + 4x³
Transcribed Image Text:For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph. k(x) = 3x² + 4x³
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