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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
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
Reid WolffLv2
19 Jul 2019