Hi,
I want to confirm this:
a=8 , b=5 , c=7
Decide the Taylor polynomial of degree 2 in the point (0, a) to the function f (x, y)=sqrt(1+bx+cy). Decide with the aid of Taylor polynomial if the function has a local minimum in (0, a).
I used the partial derivates:
df/dx = 5/(2*sqrt(1+5x+7y)) = 5/sqrt(57)
df/dy = 7/(2*sqrt(1+5x+7y)) = 7/sqrt(57)
and so on with the rest of the derivates
And with the all derivates in the taylor polynomial i will get a value different then 0 and that mean that it havent got a minimum.
Is this the correct way to slove this?
I want to confirm this:
a=8 , b=5 , c=7
Decide the Taylor polynomial of degree 2 in the point (0, a) to the function f (x, y)=sqrt(1+bx+cy). Decide with the aid of Taylor polynomial if the function has a local minimum in (0, a).
I used the partial derivates:
df/dx = 5/(2*sqrt(1+5x+7y)) = 5/sqrt(57)
df/dy = 7/(2*sqrt(1+5x+7y)) = 7/sqrt(57)
and so on with the rest of the derivates
And with the all derivates in the taylor polynomial i will get a value different then 0 and that mean that it havent got a minimum.
Is this the correct way to slove this?