a) Find the minimum rate of change of the function f(u) = 3u5 – 5u³ + 5u – 7.

Q: Find the second-order partial derivative fxx ( x , y ) of the function f ( x , y ) = x 6y 4 -…

A: Given f(x,y)=x6y4-2x7y8+17x-y

Q: 3) Find the maximum rate of change of f at the given point P and the direction in which it occurs.…

A:

Q: 2. Find the derivative of the function at PO in the direction of u. f(x,y)=6x-7y, P0(-7,-2), u=4i-3j

A: We have to find derivative

Q: Allow f(x, y) = xe^(xy), now find the maximum rate of change of f at the point (3, -1).

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Q: Find the gradient of the function at the given point.

A:

Q: f(x,y)=x² +16xy + y² +8

A:

Q: Find the maximum rate of change of the function f(x, y, z) = xy + yz - xz at the point P,(1, -3, 4).

A: As per our guidelines we are supposed to answer only one question.

Q: Find the maximum rate of change of the function f(x, y) 4y at the point (5,1)

A: Given f(x, y) at (5, 1)  We have to find find the maximum rate of f(x, y) at (5, 1) by using the…

Q: Find the maximum rate of change of the function f(x, y) : 4y4 at the point (1,3)

A: We will solve the problem

Q: e) The maximum rate of change of f(x, y) at the point (x, y) = (1, 0) is

A:

Q: Find the maximum rate of change of f(x,y) =x²y+ /y at the point (1,1). In what direction does it…

A:

Q: 2) Find the maximum rate of change of f at the given point P and the direction in which it occurs.…

A:

Q: Let f(x, y) = exy and P(1, 0). Find the maximum and minimum rates of change of f at the point P. In…

A: Given function is: f(x,y)=exy and point P(1,0)

Q: y = x – 2 + Ce* X-

A:

Q: Find the orthogonal trajectories of the curve x^(2) + y^(2) = c^(2)

A:

Q: (b) Find the first order partial derivative af and for the function f(x, y) = x/y –x²y+ y²

A:

Q: 2. Let f(r,y) = n: Find the maximum rate of change of f(r, y) at the point (4, 1) and the direction…

A: Given the given function is fx,y=xx-y and the point is 4,1. Apply formula for the maximum rate of…

Q: Find the maximum rate of change of f (x, y) = xln /x2 + y2 at (1,2) and direction in which it…

A: To find the maximum rate of change of fx,y=xlnx2+y2 at 1,2 and direction in which it occurs.  First,…

Q: Find the partial derivativef,for the functionf(x,y) - &x+y. 1,(x.y)- 17 1,(x.y) = Sx+y Sx ,(1.y) =…

A:

Q: Find the linearization of the function z = x/j at the point (3, 64). L(x,y)

A: According to the Bartleby guideline only one question can be solved at one time, post the remaining…

Q: Let f(x, y) = xe*Y. Find the maximum rate of change of f at the point (2, 1). хе

A: We will find the maximum rate of change.

Q: Find in what directions does flx, y, z) = 4x 2– 9z + 2z In(y) increase and decrease most rapidly at…

A:

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ |f₂(x, y) = O f.(x,y)= f₂(x, y) = 1…

A: We have to find derivative

Q: Find all the second-order partial derivatives of the function f(x,y) = 4x2 + 9y + 7x2y?.

A:

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

A: Consider the function: fx,y,z=xlnyz Differentiating with respect to “x” then,…

Q: Find the maximum rate of change of f(a, y, z) tan(6z + 4y + 2z) at the point (- 4, 3, - 6).

A:

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

A:

Q: Let f (x,y,z) = xln(yz). Find the maximum rate of change of f at the point (1,2,;) and the direction…

A: Suppose f  is multivariable function as f=fx,y,z then gradient vector is a vector that is composed…

Q: The minimum rate of change of the function f(x, y) = In(x² + y²) at the point (-1,0) is: a. -1 O b.…

A:

Q: The student should determine the minimum rate of change of the function g(x, y) = y²e*Y on the…

A: First I have written the rule of minimum rate of change of a function at given point and then find…

Q: (c) Find the minimum and maximum value of f(x, y, z) = xy + yz.

A: Given: The function fx,y,z=xy+yz   To find: The minimum and maximum value of the given function

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

A: Given function and the point are

Q: Find the second-order partial derivative. 4) Find fxy when f(x.y) = 8x3y 7y2 + 2x. A) - 28 C) 24x2…

A:

Q: Use the Chain Rule to calculate the partial derivative. Express the answer in terms of the…

A:

Q: Find the maximum rate of change of the function f(x, y) 3y5 x at the point (3,4)

A:

Q: Find the partial derivative. 3p f (p, q) = e af

A:

Q: Find the second-order partial derivative fxx ( x , y ) of the function f ( x , y ) = x 4 y 4 - sqrt…

A:

Q: 2) a) Find the absolute maximum and minimum values of the function f(x, y) = e*+y* in the disk x? +…

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

Q: f(x, y) = 3xy – x²y- xy?

A:

Q: Find an equation for the level surface of the function f (x, y) = ln (x² + y²+ z²) that passes…

A:

Q: Find the linearization of the function f(x,y) = y + sin (x/y) at the point (pi,3)

A:

Q: Find the maximum rate of change of f(x, y, z) = tan(2x + 2y + 3z) at the point (−9, 6, 2) and the…

A:

Q: #2. Consider the function f (x, y,z) = xy+3xz² + 5y at the point (1,0, 2) (a) Find the direction in…

A:

Q: Find the maximum slope on the graph of f(x, y) = 2 sin(ry) at the point P(4, 0).

A: The given question can be solved as shown in step2.

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 1, (1, 4)

A: To find the gradient of the function at the given point.

Q: Find the maximum rate of change of f(x, y, z) = tan(7x + 3y + 6z) at the point (4, – 5, 2).

A:

Q: Find the relative maximum and minimum values. f(x,y) = x° +y° - 3xy

A:

Q: If x² + y² < z < 1, find the maximum and minimum of the function u(x, y, z) = x + y + z

A: We have to find the maximum and minimum of the function.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.