Vectors: Using the direction -9i -5j and the point (6, -3), find the derivative of the function f(x) = -4xy-8y^2
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Vectors: Using the direction -9i -5j and the point (6, -3), find the derivative of the...
Find the critical point of the function. Then use the second derivative test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) f(x, y) = x2 − 4xy + 2y2 + 4x + 8y + 8 critical point (x, y)= classification ---Select--- :relative maximum, relative minimum ,saddle point, inconclusive ,no critical points Finally, determine the relative extrema of the function. (If an answer does not exist, enter DNE.) relative minimum value= relative...
7) Find the derivative of the function at P.(-7.-8) in the direction of ū= 121 - 5j for f(x,y) = tan-
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?
7) Find the derivative of the function at Po(-7,-8) in the direction of u = 121 – 5j for f(x,y) = tan-- (30)
7) Find the derivative of the function at P. (-7,-8) in the direction of ū= 12i – 5j for f(x,y) = tan-1 -4633)
2. Given f(x) = find the derivative using the definition of derivative. 3. Find A and B given that the function, f(x), is continuous at x = 6. V | f(x) = {B (Ar - 42 > 6 4. Find the slope of the tangent line to the curve 2.2 - 2xy + 3y2 = 10 at the point (1,2).
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) is 1, while the directional derivative towards (1.2) is -1. Find andf at
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) is 1, while the directional derivative towards (1.2) is -1. Find andf at
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
(1 point) The derivative of f(x,y) at (0,6) in the direction 85 <7,-6 > is -5 and the derivative of f(x,y) at (0,6) in the < -4, -5 > is 6. direction What is the derivative of f(x, y) at the point (0,6) in the direction < -5,6 >?
(1 point) The derivative of f(x,y) at (0,6) in the direction 85 is -5 and the derivative of f(x,y) at (0,6) in the is 6. direction What is the derivative of...
6) a (15 pts) Find the derivative of (x,y,z-xy, + x3yz + z3yx in the direction of v -2 -4k at the function fix.y z) at the point vo Can you find any direction(s) where the surface is neither increasing nor decreasing? e point vo (2, 1, -3). What is the rate of maximal increase to the b. (10 pts) Find a normal vector and the tangent plane to the following level surface x'y t yz+2 3 at (1, 1,...