Suppose the f(x, y) is a smooth function and that its partial derivatives have the values,...

Transcribed Image Text:

Suppose the f(x, y) is a smooth function and that its partial derivatives have the values, fx (8,-7) = 3 and fy(8,-7)=5. Given that f(8, -7) = 0, use this information to estimate the value of f(9,-6). Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation. Estimate of (integer value) f(9, -6) Suppose the f(x, y) is a smooth function and that its partial derivatives have the values, fx (8,-7) = 3 and fy(8,-7)=5. Given that f(8, -7) = 0, use this information to estimate the value of f(9,-6). Note this is analogous to finding the tangent line approximation to a function of one variable. In fancy terms, it is the first Taylor approximation. Estimate of (integer value) f(9, -6)