Let f(x, y, z) = -2 - 3y + 4 and let P be the point (1, -1, 3). Which of the following statements is false?
B) The maximum rate of change of f at P is 9.
C) There is no direction in which the rate of change of f at P is equal to 10.
D) There is a direction in which the rate of change of f at P is equal to -12.
E) The function f increases most rapidly at P in the direction of the vector -6 i - 3 j + 6 k.

Question

Let f(x, y, z) =  -2  - 3y + 4 and let P be the point (1, -1, 3). Which of the following statements is false?
B) The maximum rate of change of f at P is 9. 
C) There is no direction in which the rate of change of f at P is equal to 10. 
D) There is a direction in which the rate of change of f at P is equal to -12. 
E) The function f increases most rapidly at P in the direction of the vector -6 i - 3 j + 6 k.

Quizplus · Accepted Answer

The Answer of Let f(x, y, z) =  -2  - 3y + 4 and let P be the point (1, -1, 3). Which of the following statements is false?
B) The maximum rate of change of f at P is 9. 
C) There is no direction in which the rate of change of f at P is equal to 10. 
D) There is a direction in which the rate of change of f at P is equal to -12. 
E) The function f increases most rapidly at P in the direction of the vector -6 i - 3 j + 6 k.

Let F(x, Y, Z) = -2 - 3y