- #1
Kork
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D is a set of all points (x,y) in R2 distinct from (0,0).
I have the funtion f: D --> R which is defined by:
f(x,y) = (2xy)/(x2+y2
Im asked to find the equations (in plural) of the tangelnt plane and the normal line to the graph of the function at (1,2)
My attempt:
I use the tangent plane z= f(a,b)+f1(a,b)*(x-a) + f2(a,b)*(y-b)
f(1,2) = 4/5
f1(1,2) = 12/25
f2(1,2) = -6/25
when I put that into the tangent plane equation and simplify I get: (12/25)x - (6/25)y+4/5
Is this my normal line?
Im very confused, because the assigment asks me to find multiple equations of the tangent plane which I have never done before.
Help is appreciated.
I have the funtion f: D --> R which is defined by:
f(x,y) = (2xy)/(x2+y2
Im asked to find the equations (in plural) of the tangelnt plane and the normal line to the graph of the function at (1,2)
My attempt:
I use the tangent plane z= f(a,b)+f1(a,b)*(x-a) + f2(a,b)*(y-b)
f(1,2) = 4/5
f1(1,2) = 12/25
f2(1,2) = -6/25
when I put that into the tangent plane equation and simplify I get: (12/25)x - (6/25)y+4/5
Is this my normal line?
Im very confused, because the assigment asks me to find multiple equations of the tangent plane which I have never done before.
Help is appreciated.