Given f(x, y, z)= x ln(yz), (a) (b) rapidly; compute Dƒ(1,2,1), where ₪ = 7 - 7; find the derivative of f(x, y, z) at the point (1,2,1) in the direction the function increases most and find an equation of the plane tangent to the surface f(x, y, z) = 0, at the point (1, 2, 3).

Q: Determine the directional derivative of f(x, y) = 3x² + [y] at the point P(-1, -1) along the…

A: Explanation of the answer is as follows

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A: Given that ψ=xz+y2and the direction vector2x⏞ -y⏞+3z⏞The point p0=(2,0,-1) To find the directional…

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A:

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 f(x, y) = V5x + 3y at the point (0, 2) in the direction 0 3…

A: f(x,y) = 5k+3yt point (0,2)in direction θ= 5π4 radiusto find directional derivativesolution1)…

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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: x if x < 0 F(x)=sin(x) if 0 < x≤ 3 1 if 2 < x lim_ f(x) =? lim f(x) =? lim f(x) =? x-1- lim f(x) =?…

A: