Let f: R R be defined by f(x,y)=x+2y + 6xy. (a) (5 points) Find f(1,1)...

 

Transcribed Image Text:

Let f: R² → R be defined by f(x,y)=√√x²+2y² + 6x²y². (a) (5 points) Find f(1,1) and the vector of first partial derivatives Vf(x,y) == (fr. fy) at (x,y)= (1,1) (b) (5 points) Write an equation of the plane in R³ that is tangent to the graph of the above function f(x, y) at (x, y) = (1,1). Let f: R² → R be defined by f(x,y)=√√x²+2y² + 6x²y². (a) (5 points) Find f(1,1) and the vector of first partial derivatives Vf(x,y) == (fr. fy) at (x,y)= (1,1) (b) (5 points) Write an equation of the plane in R³ that is tangent to the graph of the above function f(x, y) at (x, y) = (1,1).

Answer rating: 100% (QA)

2 a f11 Given Function is fxy x2y 6x y 2 1 6 1 193 2x 12x2y af fx 1 a... View the full answer