If f(x.y)= x?+2xy+5y² then дудх

Q: Find fy (x, y) for f(x,y) ry

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Q: xyz 3. If (x, y.2)= In +ef), find f,,f, and f.. 4

A: Given: fx,y,z=lnxyz4+e-3xy2z2 The objective is to find fx, fy and fz

Q: - f(x, y) = Vx5 + y5. Find f-(0, 0).

A: Given that fx,y=x5+y55.It is required to find fx0,0.

Q: Find fxy(x,y) if f(x,y) = (x5 +y³) 7. fxy(x,y)=

A: Concept: Partial derivatives: In differential geometry and vector calculus, the partial derivative…

Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

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Q: f(x, y) = x + y' subject to x + 4y = 29 occurs.

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Q: 9. Evaluate f, L" x²y²z dz dy dx ху Hw

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Q: xbe inner froduct x+y Lx_y ?

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Q: If y2 is positive, then y1 + y2 will lie _______ y1 by a distance equal to ____.

A: Consider a function y=sinx+1. Here y1=sinx and y2=1>0positive.

Q: In what directions is the derivative of ƒ(x, y) = (x2 - y2 )/ (x2 + y2 ) at P(1, 1) equal to zero?

A: Given, , the unit vector is , here directional derivative is given as,

Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = 2x3 + 3y2 + 1.

A: To verify that

Q: Find d²y if y =x² +3x-7 and x=2t+1. dt?

A: y=x2+3x-7 and x=2t+1

Q: If f(z) = (t³ + 5t2 + 3), dt then f''(z) =

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Q: f(x, y) = In(4x + 3y) Calcule

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Q: Find fx, fy, fz f(x,y,z) = x – V2y² +z?

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Q: Find fy (4,0) if f(x.y) = 3x e . f,(4,0) = O

A: problem is solved using partial differentiation

Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

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Q: 1. f (x, y) = x² + y?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Se-2t if 0 3,

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Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3)

A: Given: f(x,y)=ln|3x4+5x2y2|∂f∂x|(2,−1)=fx(2,−1)=?∂f∂y|(−4,3)=fy(−4,3)=?

Q: 14 If f(x) : t? dt then f'(x) =

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Q: f(z) dz = 4, then 2f(x) – z dz 13 If %3D =

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Q: (b) Differentiate (Vx+ 1) with respect to x. 2/3

A: as per our guideline we can solve maximum one question you can repost other questions

Q: y = In /2x

A: The function is given by y = ln2x

Q: If y = (x + 1)(2x – Vx), then y' will be,

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Q: Find fxy(x,y) if f(x,y)= e 8xy² fxy(x,y)=

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Q: dy + 2xy = f(x), y(0) = 4, where xp Sx, 0sx<< 1 f(x) lo, x 2 1 0 < x< 1 y = x 2 1

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Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

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Q: Let_y=x² +5x³-4x+1 then dy- ||

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Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

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Q: What is the value of x in (2x - jy) + (y - jx) = 1 - j5?

A: We have to find the value of x where 2x-jy+y-jx=1-j5

Q: Let f(x,y) = 10x^3y^4+ 21xy^2 Find ?yyy

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Q: 3 V9-y s S f(1,y)dxdy. y)dzdy. y-3

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Q: | f(t) dt 20z 4, then f (t) dt is If 4x²+21

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Q: dy If dz 3x - 3 and y(0) = 8, then y(1) %3D ---

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Q: F(x,y, z) = 5x² + 2y² + 4xy + xz

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Q: Suppose f(x, y) = (2æ)" + 3y". Find f# (1, 1), fy(1, 1), and fyy (x, y)

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Q: Then: f(x, y) = exy 2z3y fxxy 2 2z?y fxxz' XXZ 2z y Ofxyy= x2 Of- 2z3y2 fx² X

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Q: If f(x) = S" (t³ + 2t? + 7) dt then f"(x) =

A: We have to find f"(x) . We will use Libnitz rule to find derivative of integral function.

Q: or f(x, y) a + y? – xy +1 -

A: Consider the given function as fx,y=13x3+12y2-xy+1

Q: If y = x*+2 then y' at x = 1 is equal to

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Q: d²y(t) dy(t) + 8 dt + 25y(t) = 10u(t) dt2

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Q: f (x, y) = x² + 3y² + 4,

A: Supposing the question is asking to find the local minima value.

Q: If f(x) = | (3 + 4t + 5) dt %3D then f'"(x) =

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Q: If f (x, y) = Vr3 + y3 In (x² + y³)esin(zy+y') + x°y+ 10 , then f. (1,0) O 4

A: Properties of derivative  ddxex=ex ddxxn=nxn-1 ddxsinx=cosx ddx(lnx)=1x

Q: Solve: min f (x, y), where f(x, y) = 5x +6xy + 2y² + 2x +2y+1000 x.y

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Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

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Q: Consider f(x, y) = 57x2 +61ry+ 7y? f-(x, y) = %3D and fy(x, y) = %3D

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.