5. Find the first and second partial derivatives a. z = 3x? + 2xy – 5y? b. z = ex²-xy

Q: Evaluate the indicated partial derivatives. 2 = 9r*y – 3r*y az az dy

A: We know that, The Power law: ddxxn=nxn-1   Given: z=9x2y-3x5y

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

A: Here the given function

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

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Q: Find the first partial derivatives of the function (2x + 9y)'². = Z dz 1. дх dz 2. ду

A: To find the first partial derivatives of the function: z=(2x+9y)12 So, z is the function of x and y.

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

A: Find all second-order partial derivatives for the following. k(x,y)=-7x2x+3y We  first find the…

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

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Q: f(x, y) = ln(x + y)

A: for the first order partial derivative we have to find fx = derivative of f with respect to x fy =…

Q: 1. Find the first and second partial derivatives (that is f, af, , , and ) of Əx' dy' dx², ay² »…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Find the first partial derivatives and evaluate at the given point. Function Point P(x, y) = x² –…

A: The given function is  f(x, y)=x2-5xy+y2 The point is (2, -2)

Q: Find the first partial derivatives of the function. f(x, y) = 6exy + 9 fx = fy

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Q: Find the first partial derivatives of the following functions: 5. y = Vx? – y2 6. z = In(x + /x? –…

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Q: 4. Find the 2mnd partial derivatives of : = 3xy+y-4x+7

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Q: Find the second order partial derivatives and of дхду aydx S(x.y) = 4x + In x + e² cos y + 9y + 3

A: d/dx(x^n)=nx^n-1 d/dx(cosx)=-sinx

Q: Find both first partial derivatives. h(x, y) = e(x¹0 + 10 hx(x, y) = h₂(x, y) =

A:

Q: Find the four second partial derivatives of the following function. f(x,y) = ln (3x2 + 4y2 + 7)…

A: We have to find

Q: Find the first partial derivatives of the function. w = In(x + 8y + 6z) aw aw ду aw dz

A:

Q: Differentiate implicitly to find the first partial derivatives of w. x2 + y2 + z2-9yw + 10w2 5 aw…

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

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Q: z = x3 – xy? + 3y² |

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Q: 2. Find the four second partial derivatives x² +y2

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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 the first partial derivatives of the given functions. 2. z = 3x?y – y3 + 4x – 7

A: When a function involves two or more independent variables, it can be differentiated with respect to…

Q: Find the first partial derivatives of the following function. f(x,y)=x²-3xy-6y²

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Q: Find the first partial derivatives of the function z = (2x + 3y)10.

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Q: Find the indicated partial derivatives of: -8x 7y - f(x, y) 5а + 2у fr (x, y) = fy(x, y) =

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Q: 1. u= x² + y² + z²

A: On solving this we will get

Q: Determine the first partial derivatives of h(r, s) In(r? + s2 + 2) at the point P(3, -2). h,(3, -2)…

A: Topic:- partial derivatives

Q: Find both first partial derivatives. z = 25xy əz əx əz ду II

A: Given:       z=25xy      ∂z∂x=∂∂x25xy treat y as constant. Taking constant out…

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

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

Q: A. Find the first partial derivatives of the given functions. 1. z = x3 – xy? + 3y²

A: For a function in several variables partial derivatives are derivative with respect to one variable…

Q: B. Find the indicated partial derivatives: af af 7. fls.y) = cn{«-y?), y

A:

Q: 5. z = yex+x Iny xey-y lnx

A: Solution : z=yex+xln(y)xey-yln(x) zx=∂z∂x =∂ ∂ xyex+xlnyxey-ylnx-∂ ∂ xxey-ylnxyex+xlnyxey-ylnx2…

Q: Find the first partial derivatives for f(x.y)= 10x cos (3xy)

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Q: Find all second order partial derivatives of the given functions f( x,y)=cos(2xy²-3x²y³)

A: Given function of two variables is  f(x, y)=cos2xy2-3x2y3. We have to find all second order partial…

Q: Find the first partial derivatives for f(x,y) = x cos (5xy). of = cos (5xy) - 5xy sin (5xy) %3D of…

A: The solution for the above question is as shown below.

Q: Find all second partial derivatives of the function f(x, y) = In(3x? + 5y).

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Q: find all the second-order partial derivatives of the given function f(x,y)=xy^(2)+ye^(xz)+5

A: It is partial derivative

Q: Evaluate the indicated partial derivatives. = 82²y – 4a°y - az dx dz dy || ||

A: Derivative z with respect to x and y

Q: Evaluate the indicated partial derivatives. z = 7x°y – 4r'y dz dz fie

A: Use partial fraction

Q: Find all second-order partial derivatives for the following. 5 6,5 4.7 R(x,y) = 6x° – 8x°y$ + 3x*y7…

A: We have to find derivative

Q: 5.Find all the first partial derivatives of each function f (x,y) =(2x– y)* а. 3/2 S(x, y)= (4x–…

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Q: Find all first partial derivatives. f(x, y) = 4x2 − 2xy + y2

A: Consider the given function  fx,y=4x2-2xy+y2

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

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Q: Solve for the indicated higher-order partial derivatives, fæx, fæy, fyy- · f(x, y) = Vx² + y?

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

A: SOLUTION-

Q: Find the four second partial derivatives of the following function. f(x.y) = In (5x? + 2y² +6) Txx

A: Given function is fx,y=ln5x2+2y2+6 Differentiate fx,y=ln5x2+2y2+6 partially with respect to x…

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

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Q: Find both of the first partial derivatives. z'y z = e

A: Given,           z=e-x2y

Q: Differentiate implicitly to find the first partial derivatives of z. x In(y) + y²z+ z² = 93 дz əx дz…

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Q: Differentiate implicitly to find the first partial derivatives of w. x² + y² + z² - 7yw + 10w² = 9…

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