Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 2, 1) in the direction of the vector (Use symbolic notation and fractions where needed.) directional derivative: 1 2 √3+3. i +

Q: Let = (3, 4, 12) . Find the directional derivative of f(z, y, 2) =1– y² +32³ in the direction of v.

A: Consider the given function, fx,y,z=x-y2+3z3 and v=3,4,12 Now, find the derivative of the function…

Q: P= (3,2,;?)

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Q: Find the directional derivative of J(, 9) + 3y at the point (2, the direction 57 radians.

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Q: Find the angle 0 between the vectors. f(x) = 3x, g(x) = 4x?, (f, g) = | Rx)9 f(x)g(x) dx radians

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Q: . Use the gradient vector to find the directional derivative of f (x, y) = at x2-y the point (1, 2)…

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