6. For a given function f(x, y), is noted that at the point P(1,1) the directional derivative in the direction towards...

Question

Question

6. For a given function f(x, y), is noted that at the point P(1,1) the directional derivative in the direction towards (0,0)

math calculus

Answer 1

Answer #1

Give n , p.。 (1,1) 3 No direc ton touoonds (op) tt is the vectn direcion by uoina given Condiion っ Hencs o.fn (p) +1.1,(r) e-

Answer 2

Similar Homework Help Questions

Find the directional derivative of the function f(x,y,z) = z4−x3y2 at P(1,-1,1) in the direction of...

Find the directional derivative of the function f(x,y,z) = z4−x3y2 at P(1,-1,1) in the direction of the vector from P(1,-1,1) to the point Q(2,1,0). What is the maximum rate of change of f at the point P(1,-1,1) and in which direction
The directional derivative of the function f(x, y) = 2x In(y) in the direction v =<...

The directional derivative of the function f(x, y) = 2x In(y) in the direction v =< 0,1 > at the point (1,1) is equal to 2. Select one: O True False
1. Find the directional derivative of the function f(x, y, z) = 2.cy – yz at...

1. Find the directional derivative of the function f(x, y, z) = 2.cy – yz at the point (1,-1,1) in the direction of ū= (1,2,3). Is there a direction û in which f(x, y, z) has a directional derivative Dof = -3 at the point (1,-1,1)?

Find the directional derivative of the function at the given point in the direction of vector...

Find the directional derivative of the function at the given point in the direction of vector v. f(x, y, z) - xel + ye? + zet, (0, 0, 0), v = <4,9,0> DULCO,0,0) - Need Help? Read it Talk to a Tutor
3. Find the gradient ãf and the directional derivative at the point P(1,-1,2) in the direction...

3. Find the gradient ãf and the directional derivative at the point P(1,-1,2) in the direction a = (2,-1,1) for the function f(x, y, z) = xºz-yx + 2. In which direction is the directional derivative at P decreasing most rapidly and what is its value?
17. Given f(x, y, z) = x^yz -- xyz', P(2,-1,1) and vector v =<1,0,1 >. Find...

17. Given f(x, y, z) = x^yz -- xyz', P(2,-1,1) and vector v =<1,0,1 >. Find i. the directional derivative of the function at the point P in the direction of v. ii. the maximum rate of change of f.

Problem 17 Find the directional derivative at the point (-1,1) Problem 18 In what direction is th...

Problem 17 Find the directional derivative at the point (-1,1) Problem 18 In what direction is the function (x,y) - cos(^) sin(y sloping most steeply doumhall at the point (r/A,x/0) Recall that a directiom is rported as a unsit wector. Problem 17 Find the directional derivative at the point (-1,1) Problem 18 In what direction is the function (x,y) - cos(^) sin(y sloping most steeply doumhall at the point (r/A,x/0) Recall that a directiom is rported as a unsit wector.
Find the directional derivative of the function at the given point in the direction of the...

Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xyz, (4,2, 8), v = (-1, -2, 2) Duf(4, 2, 8) = -4 X
please solve now (a) 3 marks The directional derivative of f(x,y) at a point P in...

please solve now (a) 3 marks The directional derivative of f(x,y) at a point P in the direction of the vector <2,3 > equals 7, and the directional derivative of f(x,y) at a point P in the direction of the vector < 1,-2 > equals 5. Find Vf at P. (b) 4 marks (c) 4 marks Find Zxy if z3 = xz+y. (d) 4 marks Find and classify all local extreme points of f(x,y) = x3 + y3 - 3x...