The directional derivative of a function f(x, y, z) = xy - xz + y at the point Po(-1,0, 1) in the direction of a vect v = i-j- 2k is Select one: A. None of these answers O B. 0 O C. D.

Q: 15.8 Consider the equation x³ + 3y² + 4xz² – 3z²y = 1. Does this equation define z as a function of…

A: Given:  The equation: x3 + 3y2 + 4xz2 - 3z2y = 1. To define: z in the equation as a function of x…

Q: Calculate Duf(-1, 1, 1) in the direction of =--23-k for the function f(x, y, z)=-4x² + 5xy + y² + 3x…

A: Given function is f(x, y, z) = -4x2 + 5xy + y2 + 3x + 3yz - z2 - 5xz

Q: Suppose ƒ (x, y) = , P = (1, −1) and v = 2i – 2j. A. Find the gradient of f. Vƒ = Note: Your answers…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Which of the following is the directional derivative of f(x, y) = 2xy² - x³y at the point (1, 1) in…

A:

Q: The directional derivative of f(x, y) = e²y - x at the point (1, 2) in the direction indicated by…

A: In this question, We want to find the directional derivative in the given direction.

Q: Find the derivative of f(x, y, z)=x²-xy² -z at the point p (1,1,0) in the direction of V=i-j+2k (it…

A: