Posted by **Nicola** on Sunday, November 27, 2011 at 7:05pm.

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 .

## Answer this Question

## Related Questions

Calculus - Consider the function f(x)=x−15x^1/3. For the following ...

Calculus - Consider the function f(x)=3cosx−cos^(3)x for 0<x<2π...

Calculus - 7) Consider the function f(x)=x2e4x. For this function there are ...

Math - Can someone help me with these T.T 1.Which polynomial function would have...

CALCULUS. Check my answers, please! :) - The domain of f(x)=(1)/(sqrt(x^2-6x-7...

Calculus Please Help - A continuous function f, defined for all x, has the ...

Calculus Please Help - A continuous function f, defined for all x, has the ...

Math - Verify these answers :] Would be thankies~ 1. Determine the intervals in ...

Math - Suppose f is a function with range (-∞,∞) and g is a function...

calculus help please - Consider the function f(x)=2x+9x^–1.? For this function ...