Find the first order partial derivative with respect to y of the function f (x, y) = x³y² + 3æe". 3a2y? +3e 622 + 3e 2a y+ xe" None of these 3a²y? + 2ary+ 3e" + 3xe"

Q: Show that the directiona f(x, y, z) = z²x + y ² at ( X (1/15" + ) ; 255. them

A: fx,y,z=z2x+y3 P1,1,2v→=15i+25j We know directional derivative Dv→fP=∇fP.v→v→

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A: 14a) (a)Given w=x2y+xy2,x=u+v,y=u-v Use chain rule for the partial derivatives:…

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Q: #1 y= x³ + 4x − 15 at x = 0

A: As per policy, we are allowed to answer only one questions at a time. So, I am answering the first…

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Q: Which of the following is y' for the implicitly defined function æ²y = 5? Oy' = -2x Oy' = -2xx' -2y…

A: Given that: x2y=5

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Q: (b) w = x²y – 10y2²2³ + 43z – 7 tan(4y) dw 2xy + 43 z² – 20yz³ – 28sec² (4) dy –30y²2² dz %3! dz

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Q: y = x³ + 4x - 15 at x = 0

A: Formulas to be used: 1) Newton's Forward Difference Formula The formula for the forward difference…

Q: 21) GWEN f(u₂v₂t₂) = ev sin ut FIND fu fv ft ?

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Q: 5. What is the derivative of the given function below? * x² + y² = xy dy dy dx dx Option, dy dx = =…

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Q: Find the Partial Derivatives of the functions with respect to cach variable Mathematies Second Fear…

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Q: 1 Find the partial derivative with respect to y of the function (2 x – 3) (3 y + 1)i el-5 z+5). -5…

A: To find the partial derivative of the given function with respect to y (2x-3)1/4(3y+1)1/4e(-5z+5)

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A: Topic:- partial derivatives

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Q: Use the chain rule to find the partial derivatives for and av z = coS x siny , x =u – v , y = u²…

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Q: Which among the following functions has the derivative of dw (18y4 54y³ + 90y²) (2y³ – 1)' + (2y³ –…

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Q: Find the derivatives for the following functions. 1 2x2 1.

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Q: Solve the partial differentiabion equation +6.0 = 2-y Ox Show that the gereral aoludion 2.

A: Given. the partial differential equation                            ∂2z∂x2+5∂2z∂x∂y+6∂2z∂y2=2x-y…

Q: 5. a) Find the first order derivative of the following function. y x° In x

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: dy Solve the following implicit partial derivative dx and select the correct answer:…

A: sol is given below..