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13 Nov 2019

f(x) = xe^-x^2

PLEASE SHOW WORK

a) find all critical numbers

b) find intervals that f is increasing/decreasing

c) use first derivative test for local max and min

d) apply second derivative test to f or state that it fails

e) find intervals on f for concave up and concave down

f) find all inflection points

g) Use L'Hopital's rule to find lim as x goes to infinity of f(x) and lim as x goes to -infinity of f(x)

h) find min and max value of f on interval [0,2]

i) sketch a graph of h

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Reid Wolff
Reid WolffLv2
19 Jul 2019

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