Posted by Nicola on .
Consider the function f(x)=xlnx.
For the following questions, write inf for ∞, -inf for −∞, and None if no such answer exists.
a.) The domain of this function is .
b.) The x-intercept is .
c.) f′(x) = .
d.) f(x) is increasing on the interval and decreasing on .
e.) f(x) has a local minimum at and a local maximum at .
f.) f′′(x) = .
g.) f(x) is concave up on the interval and concave down on .
h.) f(x) has a point of inflection at .