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 x-axis.

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+4x-x^{3}. Find the open intervals on which f is increasing (...
- Lauren - Let f(x) = 3+4x-x^{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)=((6x-3)/(x+6)) how do you find the intervals of ...

More Related Questions