12 Use the gradient to find the directional derivative of the function at Pin the direction of Q. g(x, y) = x² + y² + 1, P(1, 2), Q(2, 3) O 5v3 O 3v2 O 2y3 O 7/3 sure that . ERS ONLY with n.

Q: 2. Find the directional derivative of f(x,y) = x cos y in the direction of v = 22, -1). A. (2 cos y…

A:

Q: The temperature at the point (x, y) on a metal plate is X x² + y² Find the direction of greatest…

A: Given function:-T=xx2+y2

Q: Q4: Find the derivative of the function at P. in the direction of A 2) g(x, y) = x - (y² /x)+ J3…

A:

Q: Let f(x, y) = x2 – y?. Find (a) The directional derivative of f at (-2, 1) in the direction of v = i…

A:

Q: Q4: Find the derivative of the function at P, in the direction of A 2 1) f(x, y) = 2xy-3y², P.…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: If f(x, y, z) = x²y³ — 4x, find the directional derivative at (1, 1) (3,-4). in the direction given…

A:

Q: 1 Find the direction derivative of f(x, y, z) = x²y -zx -y³x at the point (1,-1,1) in the direction…

A: Directional derivative

Q: Find the maximal directional derivative of function f(x,y) = xln(x+y)+x²y at the point (-1,2).…

A: To find -

Q: Find the gradient Vf and the directional derivative at the point P (1,–1,2) in the direction a =…

A: The given function f(x, y, z) = x3z - yx2 + z2.The gradient of a function f is defined as∇f(x, y, z)…

Q: 7. Which of the following sets of functions is linearly dependent on R0,2? (a) {6, z, sinz} (b) {1,…

A:

Q: x² - Find a linear approximation to f(x,y) = at (1,2). Use your result to find an approximation for…

A: Let us take f1(x, y) = x2-xy and f2(x, y) = 3y2-5 The formula for L(x, y) at (1, 2) = f1(1, 2)f2(1,…

Q: If f(x, y, z) = 4zy², then the gradient at the point (5, 2,5) is Vf(5, 2, 5) =

A: Given that, f(x, y, z)=4zy2 Aim: Find ∇f5, 2, 5

Q: Prob3: Find the derivative of the function at P, in the direction of A f(x,y,z) = (1.0.). = cos xy +…

A:

Q: Use the gradient to find the directional derivative of the function at P in the direction of Q f(x,…

A:

Q: The temperature on a cubic box [0, 4] × [0, 4] × [0, 4] (measured in meters) can be described by the…

A: Function, Tx, y, z=x2y+y2z

Q: ) Find the directions in which the directional derivative of f (x,y) =4x2+sin (5 xy) at (1,0) has…

A:

Q: The directional derivative of the function function = x - xyz + y? at the point (1, 2, -1) in the…

A:

Q: 3. Find the derivative of the function f(r, y, ) = xy + yz+ the direction A = 3i + 6j – 2k. zr at…

A:

Q: 11. Let f(x, y) = 2x²y. From which of the given (x, y) points does ƒ have the largest direc- tional…

A: