Sunday

January 25, 2015

January 25, 2015

Posted by **Mike** on Monday, December 6, 2010 at 10:18pm.

f(x) = 9 sqrt(xe*^(-x)

(a) Find the interval on which f is increasing.

( , )

Find the interval on which f is decreasing.

( , )

(b) Find the local maximum value of f.

(c) Find the inflection point.

( , )

Find the interval on which f is concave up.

( , )

Find the interval on which f is concave down.(,)

- Math -
**rafay**, Tuesday, December 7, 2010 at 1:17ama) 1) take the derivative set it equal to zero and you will get critical pts

2)draw a number line and pick a point to the left and right of critical points

3) plug the selected points back into the derivative and if you get a positive number write down plus and if negative write down negative over selected points. If it's going from negative to positive then it's a local minimum and decreasing on interval

(-infinity, critical point being test)

and other way around for max..

B) take the second derivative and set it equal to zero it will give you inflection pts and do the same thing again except that if it goes from - to + it will be concave up and other way around for concave down

**Answer this Question**

**Related Questions**

MATH - I have been trying to do this problem for a couple of days but i cant ...

Calculus - Find the horizontal asymptote of f(x)=e^x - x lim x->infinity (e^x...

math (calculus) PLZZZ help! - Consider the function below. (Round the answers to...

Math - 1. If -1/infinity = infinity or -infinity ? 2. If lim x->infinity^- = ...

Math - 1. If -1/infinity = infinity or -infinity ? 2. If lim x->infinity^- = ...

math - If f(x)=x-7 and g(x)=sqrt(4-x), what is the domain of the function f/g? a...

Math - f(x)=root sign, and inside that x-2 and g(x)x-7. Which of the following ...

Algebra - f(x)=root sign, and inside that x-2 and g(x)x-7. Which of the ...

Algebra - Solve x(x-7)(x-9)<0 and express the solution set in interval ...

Algebra - Given f(x)=rootsignx-2 and g(x) = x-7 what is the domain of the ...