Posted by Ellen on Friday, July 20, 2012 at 9:23pm.
determine the intervals where f(x) = e^((x^2)/2) is increasing and where it is decreasing

math help  MathMate, Friday, July 20, 2012 at 10:09pm
1. Find f'(x)=xe^((x^2)/2)
2. plot f'(x) and find where f'(x) crosses the xaxis.
Note that e^((x^2)/2)>0 ∀ x∈R. Therefore the sign is determined by the factor (x), which is >0 for x∈(∞0) and negative for x∈ (0,+∞).
3. Knowing that x is increasing when f'(x)>0 and decreasing when f'(x)<0, can you take it from here?
Answer This Question
Related Questions
 math  Let f(x) = 3+4xx^{3}. Find the open intervals on which f is increasing (...
 Lauren  Let f(x) = 3+4xx^{3}. Find the open intervals on which f is increasing...
 Calculus  find the intervals where the function is increasing and the intervals...
 Calculus  Find the open intervals on which f(x) = 6x^2 + 96x + 7 is increasing...
 Calculus  Let f(x) = 2x^{3}+9. Find the open intervals on which f is increasing...
 Math  What is the domain? Use a graphing utility to determine the intervals in ...
 Math(Help!!)  What is the domain? Use a graphing utility to determine the ...
 Math(Please help)  What is the domain? Use a graphing utility to determine the...
 Calculus  Consider the function f(x) = x  lnx. Find the intervals on which f(x...
 Engineering Calculus  f(x)=((6x3)/(x+6)) how do you find the intervals of ...
More Related Questions