題組內容

4. The function f(x,y, z) has continuous partial derivatives. Assume that point (1,2,-1) lies on the level surtace S : f(x,y, z) = 5 and the tangent plane of S at (1,2, -1) is -x+y+3z = -2. Assume that at (1,2,-1) along the vector 615bbe74e4408.jpg the directional derivative 615bbea162724.jpg

(b) Use linear approximation to estimate f(1.01, 1.9, -0.97). Answer =__(9)__.