Determine the directional derivative for f(x,y, z) = sin(yz) + In (x) at (1,1, 7) in the direction of v = (1,1, -1). (Express your final answer in two decimal places) %3D

Q: Find the directional derivative of the function xy2 + yz2 + zx² along the tangent to the curve x =…

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Q: Find the directional derivative of z = f (x, y) = x²y³ – 3y² at (-3,4) in the direction of the…

A: Use directional derivative formula which is mentioned in solution.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = P(1, 4, 8),…

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Q: Find the directional derivative of the function at in the direction of A where g(x, y, z)=3excosyz…

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Q: The maximum directional derivative of f (x, y, z) =r sin(zy)-yz + 10 %3D at (1, -1, 0) is O v3 O 2…

A: For the scalar function f(x,y,z), gradient is the maximum rate of change.  So, first we will find…

Q: 4. Determine the directional derivative of f(r, y, z) = xe"+rsinz+a²y at the point (2,0, ) in the…

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Q: Find the derivative of the function at Po in the direction of A. h(x, y, z) = cos xy + e + In zx,…

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Q: O Find the directional derivative of f(x, y) = 3x² – 3y² in the direction from P(-,0) to Q(0, 1).

A: Point is given so first find the direction unit vector then  dot product with divergent of f(x,y)…

Q: Find the directional derivative of f(x, y) = 3x2 − 2y2 at (−3/ 4, 0) in the direction from P(−3/4,…

A: The directional derivative is the scalar product of the derivative of the function to the vector…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: Given function: Formula used:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: b) Find the directional derivative of f (x, y) = xy + e*°vy + 1 at (-1,1) in the direction of the…

A: f=xy+ex3y+1 take the partial derivative with respect to x   fx=∂∂ xxy+ex3y+1 fx=∂ ∂ xxy+∂ ∂ xex3y+∂…

Q: Find the directional derivative of f(x, y) = x2y3 + xy2 in the direction ~v =< −3, 7 > at the…

A: f(x, y) = x2y3 + xy2 Please see the white board for the partial derivatives at the point (-1,…

Q: Find the directional derivative of the function f(x,y,z) = tan (xýz) At point (1,2,3) İin the…

A: The solution is given as

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: Formula to find the directional derivative in the direction of the given vector helps to find the…

Q: b) Find the directional derivative (D.) of the function at P in the direction of PQ f(z, y) = sin 2z…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = - P(4, 4), v =…

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Q: (a) Find the directional derivative of f(z, y) = ry + y at the point (1,2) in the direction (1,1)

A: Solution a: Given function is f(x, y)=xy+y Now gradient of the function is ∆f(x, y)=∂f∂x, ∂f∂y⇒∆f(x,…

Q: Determine the directional derivative of f(x, y, z) = xe³+xsinz+x²y at the point (2,0,4) in the…

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Q: Find the directional derivative of the function f(x, Y, z) = 3e" sin(xy) in the direction of v =…

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Q: Find the directional derivative of the function f(x, y, z) = 3e" sin(xy) in the direction of v = 3i…

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Q: The directional derivative of f(, y) = In(x² + y²) at the point P(1,5) in the direction v (3, 4) is…

A: We have to find the directional derivative of the function fx, y=lnx2+y2 at the point 1, 5 in the…

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

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Q: Find the directional derivative of f at the point p in the direction of a. F(x,y)=y² ln x; p=(1,4)…

A: The given function is Fx,y=y2 lnx with p=1,4  and  a=i-j. Computation 1: Obtain gradient of f  as…

Q: Find the directional derivative of f(x, y, 2) = xz+ y?, at (1, 2, 3) in the direction of i = i+j+ k.…

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Q: Compute the directional derivative of the function f(x,y, z) = 3ryz at the point P: (1, –3, –1) in…

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Q: Find the directional derivative of the function at P in the direction of v. == P(1, 2), v = -j f(x,…

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

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Q: Find the directional derivative of the function at point P in the direction of v. h(x, y, z) = xyz,…

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Q: Find the directional derivative of h(x,y) = e*(sin y) at the point (1, T/2) in the direction of v =…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = , P(5, 2), v =…

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Q: Find the direction in which the directional derivative of f(x, y) = x? + sin(xy) at the point (1,0)…

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Q: Find the directional derivative of f(x, y) = In(e* y) at the point (0,0) in the direction of 3i + 4j

A: We will use formula for finding directional derivative.…

Q: Find the derivative of the function at Po in the direction of vector A h(x, y, z) = cos(xy) + e>% +…

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Q: Find the directional derivative of f(x, y) = Vxy at P(3, 3) in the direction from P to Q(6, -1).…

A: Using partial derivatives at (3,3) in direction of PQ.

Q: Find the directional derivative of f(x, y, z) = xy + z 3 at the pointP = (3, -2, -1) in the…

A: fx, y, z=xy+z3,  P=3, -2, -1. Now, ∂f∂x=y·1+0=y∂f∂y=x·1+0=x∂f∂z=0+3z2=3z2 Now, ∇fx, y, z=∂f∂x, ∂f∂y,…

Q: O Find for the directional derivative of the function at P,in the direction of A where f(x,y, z) =…

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Q: 3x The directional derivative of f(x,y,z) = ln (주)을 1+yz from P to Q(-1,-1,2) is given by...…

A: We can solve this using given information

Q: Find the directional derivative of the function in the direction of u = cos(e)i + sin(@)j. F(x, y)…

A: Explained below

Q: Find the directional derivative of f(z, y) = In(e" - 3y) at the point (0,0) in the direction of 3i +…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = , P(3, 4), v =…

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Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: The given function is fx,y=ycosxy, 0,1, θ=π3. Calculate the unit vector of the given direction is…

Q: find the derivative of the function at P0 in the direction of u. 1.g(x, y, z) = 3ex cos yz, P0(0, 0,…

A: (Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Ctiofnal g(x, y) = V x² + y², _P(5, 12), v = 3i – 4j -

A: The partial derivatives of f at point (x,y)=(5,12) are :…

Q: Find the directional derivative of the function f(x, y) = √√√x + 2y at the point (2, 1) in the…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = 8x-4xy+3y,…

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Q: Find the directional derivative of f(r, y, z) = e cos(ryz) at (0,1,) in 2 - 1 I- 2 the directions…

A: We have to find the directional derivative of f(x,y,z) at 0,1,12 in the directions parallel to the…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: To find the directional derivative of the function at P in the direction of v.fx, y, z=xy+yz+xz, P1,…

Q: Find the directional derivative of the function at P in the direction of v. f (x, y) = 3x – 4cy+ 9y,…

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