If f is a function of three variables that has continuous second-order partial derivatives, then div(Vf) (i) does not make sense (ii) makes sense and is always zero (iii) makes sense and may be nonzero

Q: Find both first partial derivatives. f(x, y) = 2x − 5y + 3

A: Here the given function

Q: 7) Find all the second partial derivatives of f(x,y) = x³y% + 2aªy.

A: Second derivative

Q: Differentiate implicitly to find the first partial derivatives of z. 5x² + 11y² + 7z² = 4 (No…

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Q: Evaluate the indicated partial derivatives. f (x, y) = x°ye"y af -(3,3): af (3,3) ду

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Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x,y)…

A: Please see the below picture for detailed solution for detailed solution.

Q: way'y - + 43x -7Acm (4y) Iby²23

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Q: 3: Find all the second-order partial derivatives of the functions a) f(x. y) = x + y + xy

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Q: Q3:Find all the second order partial derivatives of the f(x, y) = 2x*- 5x'y3-y

A: Given: A function fx,y=2x4-5x3y3-y3. First, find first-order partial derivatives fx by…

Q: Find the first partial derivatives of the function. z = (7x + 8y) az !! ax %3! ду

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Q: 12. Please help me solve all parts to this calculus problem

A: Let's find.

Q: Calculate all four second-order partial derivatives for f(x, y) = 13x^3+6x^2 y^4

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Q: Are the partial derivatives and gradients of a function the same, no matter your starting position?

A: Topic:- application of derivatives

Q: Suppose that your best friend has calculated the partial derivatives of a given functionf(x,y)and…

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Q: Differentiate implicitly to find the first partial derivatives of z. 3x2 + 11y? + 722 = 64 az ? əx…

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Q: Differentiate implicitly to find the first partial derivatives of w                           x2 +…

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Q: Find the first partial derivatives of the function. w = In(x + 3y + 6z) %3D

A: Given, The function, W = ln(x + 3y + 6z)

Q: If f (x, y) is a homogeneous function of degree n in x and y and has continuous first and second…

A: This question is based on Euler's theorem statement.

Q: If f is a function of three variables that has continuous second-order partial derivatives, then…

A: This question  is based on a simple theorem

Q: Differentiate implicitly to find the first partial derivatives of z. 11x2 + 5y2 + 3z² = 100 az əx az…

A: Given,  11x2+5y2+3z2=100

Q: Compute the partial derivatives: 6x = Z x²+y²

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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: 16) Compute the first and second-order partial derivatives for f(x, y) = x²y³ + x + y² − 3

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Q: Evaluate the indicated partial derivatives. f (x, y) = x'yev af (2,3) af (2,3) = (2,3)3=

A: We have to find

Q: Find the second order partial derivatives of f(x.y)-(3x+2y)*4* O Option 4 Option 2 ) Option Option 3

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Q: Find the indicated partial derivative. f(x, y) = x3y9;    fx(5, −1) fx(5, −1) =

A: Partial differentiation of a function with respect to a specified variable can be evaluated by…

Q: What is the mixed, second order partial derivative of this function. f (x, y) = / 2x² + y²

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Q: 4+2x If g(x.y) = By then the mixed partial derivative at the point (- 2. is:

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Q: Find both first partial derivatives. z = 2y2√x

A: fx = differentiate with respect to xfy=differentiate with respect to yddxxn=n xn-1

Q: In substituting the point (4,1,2) in the partial derivatives, why does the terms without x and y…

A: In part (2), we have the following: ∂g∂x4,1,2=-π1 sin4π -14-1 ln3log332 Now, sin4π=0 So,…

Q: Find all second-order partial derivatives of the function. f (x,y) =x³+xy³ + y²

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Q: Confirm that the mixed second-order partial derivatives of f are the same. f (x, y) = 7 ln(x² – y³)…

A: This is the question of partial differentiation.

Q: Find all second-order partial derivatives of the function f(x,y) = x + xy – 5x³ + In(x² + 1).

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Q: z = In(4x² – 5y')

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Q: Compute the partial derivative of h(x, z) = e4xz-3x²z. (Use symbolic notation and fractions where…

A: In this problem first we need to partially differentiate the function with respect to z and then put…

Q: Differentiate implicitly to find the first partial derivatives of z. 7x2 + 5y2 + 2z2 = 25 az ax dz

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Q: Find the first partial derivatives 3xz %3D 6x+8y

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Q: If g(x.y) -4+2x %3D then the mixed partial derivative at the point (- 2. is: 8y

A: we have given g(x, y).  We have to find the mixed partial derivative at the point (-2, 1/2)

Q: if f(x,y) = (3^x)(y^8), evaluate the partial derivatives: fx (3,5) = fy (3,5) =

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Q: Find all the second-order partial derivatives of the following function. 4x - Зу 2? + 3y

A: The question has to be solved by partial derivative

Q: Find the 2nd partial derivatives of : = 3x²y+y* -4x+7

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Q: Find the first partial derivatives of fx and fy of the function f(x,y) = 4e2x - x3y5

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Q: Find the first partial derivatives.  z=x^5-7y

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Q: Find the first partial derivatives and evaluate at the given point. Function Point f(x, у) 3 х4 —…

A: • For finding partial derivative of f w.r.t x, we treat y as a constant and for partial derivative…

Q: Q3:Find all the second order partial derivatives of the f(x,y) 2x* - 5x'y3-y3

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Q: Find both first partial derivatives. z = 6x − x2y + 8y2

A: Find both first partial derivatives. z = 6x − x2y + 8y2

Q: Find all first and second partial derivatives for each of the following functions: (а) z%3D Зx2 +…

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Q: Q3:Find all the second order partial derivatives of the f(x,y) = 2x*- 5x'y-y3

A: the given function is  f(x, y) = 2x4 - 5x3y3 - y3

Q: Find the 1st partial derivatives of z=(4x+6y)^11

A: Here we have to find partial derivatives by differentiating it with respect to x ( keeping y…