Find both first partial derivatives. z = 14y2Vx az ax az ду || ||

Q: Find both first partial derivatives. z = 8y2 sqaureroot x

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Q: Find the first partial derivatives for f(x,y) = 5x cos (5xy).

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Q: Find both first partial derivatives. 18y2 x az %3D ax dz ду

A: The given function is:z=18y2x

Q: Find all second-order partial derivatives for the following.

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Q: Find both first partial derivatives.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: compute the first-order partial derivatives. z = x2 + y2

A: Explanation: Given that,  z=x2+y2     Concept used: Here we treat y as a constant. Sum and…

Q: Find all the second partial derivatives of 3 (x,y) = 4r°y– 7xy?

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Q: Find both first partial derivatives. z = cos(10xy) dz az ду II

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Q: Find both first partial derivatives. z = 16y?Vx az ax az ay

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Q: Find all second-order partial derivatives for the following. ƒ(x, y) = 3x2 + 8y + 5x2y2

A: fx, y=3x2+8y+5x2y2 Partially differentiating with respect to x, we get fxx, y=32x+0+5y2·2x=6x+10xy2…

Q: Find both first partial derivatives. z = 13xy az az ду II

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Q: Find the first partial derivatives of the function. aw ди aw Əv 11 - - W = er u + v8

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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: Find both first partial derivatives. z = sin 5x cos 5y

A: The given function is z=sin5x cos5y. Differentiate the above equation partially with respect to x as…

Q: Find the first partial derivatives of the following function. s(xz)-z2 tanxz

A: The given function is s(x, z) = z2 tanxz.The first partial derivative of the function s with respect…

Q: Find the first and second order partial derivatives for z x2 sin (3x + 2y).

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Q: Differentiate implicitly to find the first partial derivatives of z. 7x² + 3y² + 11z² = 36 əz əx əz…

A: Differentiate implicitly to find the first partial derivatives of z.   7x ^ 2 + 3y ^ 2 + 11z ^ 2 =…

Q: 3. z = x+y x-y

A: The given function is  z=(x+y)/(x-y).

Q: Find both first partial derivatives. z = cos(10xy) az ax az ||

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Q: Find all the second partial derivatives. T = e-4r cos(0)

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Q: Find the first partial derivatives of the following function. 5s-2t

A: The given function has two independent variables s and t.The partial derivative of the function with…

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: u = xz siny + yz cosx + xy tanz

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Q: Compute the partial derivatives: ,2 z = In(x² + y³) az dy

A: Use partial derivative

Q: Find the first partial derivatives of the given functions

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Q: Find all the second partial derivatives of Z and show complete solutions Z= xy3ln( 3xey )

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

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Q: Find both first partial derivatives. Z = In

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Q: Find the first partial derivatives of the function. z = (8x + 7y)5 Əz ax az %3D Əy

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Q: Find the first partial derivatives of the following function. f(x,y)%3D2x

A: Given,  f(x,y)=2x8y

Q: Find the four second partial derivatives of the following function. f(x.y) = In (7x2 +2y? +7)

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Q: Find the first and second order partial derivatives for z = x² sin (3x + 2y).

A: As we know that; The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x And The first order…

Q: Find both first partial derivatives. z = cos(7xy) az дх az ay

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Q: Find all second-order partial derivatives for ƒ(x, y) = -4x3 - 3x2y3 + 2y2.

A: To find all second-order partial derivatives for f(x,y)=-4x3-3x2y3+2y2.

Q: Find all the second partial derivatives. T = e-7 cos(0)

A: Given,           T=e-7rcosθ

Q: Find both first partial derivatives. z = 6y?/x az az ду

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

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Q: Find the first partial derivatives of the given functions. 1. z = x3 – xy? + 3y?

A: SOLUTION-

Q: Find all the second order partial derivatives of the function : f(x, y) = In 4ry + sin 3ry + e4z-3y

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Q: 5. Find all the second partial derivatives f(x, y) = 2x + 3y

A: To find all the second partial derivatives of: f(x,y)=y2x+3y For that, find the first partial…

Q: 1. z=x - xy + 3y ?

A: Given: z = x3-xy2+3y2 To find: The first partial derivatives of the given function.

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

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Q: Find the four second partial derivatives of the following function f(xy)-In (7x2 + y2 +9)

A: To calculate all the second order partial derivatives of the given function of two variables

Q: Find all the second partial derivatives (including fxy etc.) a) v = sin(2s^2 − t^3)

A: Please see the explanation below

Q: Find both first partial derivatives. z = x2e2y

A: Given function is z=x2e2y. Partial derivative means derivative of function with respect to one…

Q: Find * if yz – In z = x +y 3.

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Q: Find the four second partial derivatives of the following function f(x,y)-y" cos 4x

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Q: Find all the second partial derivatives v = sin(2s^2 − t^3 )

A: Consider the the function  v=sin2s2−t3

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…