Question

Let W(x, y, z) = x² – xy + 3 sin z, x,y, z ∈ R. Find the linear approximation at (2, -1, 0)

Answer 1

w(x, y, z) = x² – xy + 3 sin z 

Here(x₀,y₀, z₀) = (2, -1, 0)

Linear approximation is given by