Posted by amalia on Thursday, March 15, 2012 at 7:02am.
Find the critical point(s) of the function.
Then use the second derivative test to classify the nature of each point, if possible.
Finally, determine the relative extrema of the function
f(x,y)= 3x^2  3e^5y^2

calculus  Anonymous, Thursday, March 15, 2012 at 12:32pm
There is a lot of work to this problem, so I'll talk you through the steps, but the work must be done by yourself
first you need to find derivatives of fx and fy and then find when they go to zero. Once you figure out what those values you are for fxx and fyy, youll want to plug those values back into the original equation in order to find the z value. Then, youll want to figure out fxx and fyy to "test to classify the nature of each point."
After all that work is said and done,
d=fxx*fyyfxy^2
if d is less than 0 than its a saddle point
if fxx<o and d>0 its a maxima
if fxx>0 and d>0 its a local minima

calculus  Anonymous, Sunday, June 24, 2012 at 10:41am
3x^2  3e^5y^2
Answer This Question
Related Questions
 calculus  Find the critical point(s) of the function. Then use the second ...
 Calculus  Consider a differentiable function f having domain all positive real ...
 Calculus  1. Find all relative extrema of the function f(x)=x^(6/7)3. Use the ...
 Please check my Calculus  1. Which of the following describes the behavior of f...
 Calculus  Find the relative extrema, if any, of the function. Use the second ...
 math  Let f(x) be a polynomial of degree 3 which has a critical point at(1,8/3...
 Calculus  Find the relative extrema and absolute extrema if any. Use the first ...
 Calculus  Please check, if there is something wrong please explain what I did ...
 calculus  consider the function; f(x)=x^43x^21 a) Find all the point where f...
 Calculus  1. For the function f(x)=4x^330x^2+4: a) Find the critical numbers ...
More Related Questions