Round each component to four decimal places, if necessary. Find the gradient of f(x, y) = 4e³x/y + 4x at (4, -1). Vf(4, -1)=(

Q: Which of the following is the derivative of y +3x ? Select one: dy a. da 3x 3 dy b. dz = 3x? dy C.…

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Q: a. What is the gradient at the point (4,0,1)?

A: Consider the given function fx,y,z=x2+y2+2z2+3.  The gradient of a function is given by,…

Q: 1. y = Vz + 3z – 1

A:

Q: Find the derivative of the function at the given point in the direction of A. f(x, y) = -10x2 + 5y,…

A: This question is related to directional derivative of a function, we will solve it by finding…

Q: dy B2. Use implicit differentiation to find if 3r2-4ry+y = 5.

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Q: Using implicit differentiation, for the equation r3+ y³ = 7 is y?

A: Solution is given as below:

Q: Find the gradient of the following function. 3 f(x, у) %3 5x° - ху Vf(x, y) =

A: Gradient of f(x,y) is given by∇f(x , y) = i⇀ ( fx ) + j⇀( fy )

Q: Determine the directional derivative of f at the specified point and direction. f(x) = x³ + y³ – 3x?…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: Find the gradient of f(m, n) = m³ +n³. grad f = i +

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Q: Find the gradient of the function y = x³ + x² – 2x at points where - a. It crosses the x -axis b. It…

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Q: Find the gradient function for: 21y-

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Q: Find the equation of the line passing through the point (-1, 3) and has a gradient of 5 Select one:…

A: The equation of a line is the relation between the variable y and the corresponding variable x. The…

Q: Find the gradient of z = (7x + 4y)e. Assume the variables are restricted to the domain on which the…

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Q: Calculate the derivative of the following function. y (3x-14) dy xp %3D

A: We have to find derivative

Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .