Find the function y(x) such that y′′(x) = 0 with y(1) = 2 and y′(1) =−1.

Q: Find the first partial derivatives of the function. f(x, y) = x6y3 + 4x7y

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

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Q: Find the differential dy of the given function. y = V3- x² dy

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Q: Find the second partial derivative for the function z = x7-7xy + 6y2 with respect to x.

A: Solution of given question is written in below steps.

Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) = (xy –1}…

A: Solution

Q: 18. y = x/I - x?

A: Differentiation:- The derivative of a function of real variable measures the sensitivity to change…

Q: Find the differential dy of the given function. y = V4 - x2 dy =

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Q: dz b- Solve by chain rule to determine dx z = x²y* -2y , y = sin(x²)

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Q: z = x3 – xy? + 3y2

A: Let us consider the two variable function z=f(x,y) The first partial derivative of the function is…

Q: Find the differential dy of the given function y = √(36 − x2)

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Q: Find differential of the function y= (r + 3)*

A: The given function is                                 y=x2+33

Q: Find the first partial derivatives of the function.   f(x, y)=-5xy

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Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) = (xy –1)

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Q: 1 y = x²-1 Using differential, draw the function

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: Find the directions in which the function f(x,y) = x²y + e* sin(y) Increase and decrease most…

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Q: Let y=5x2y=5x2.Find the change in y, Δy when x=3 and Δx=0.2   Find the differential dy when x=3 and…

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Q: Find the differential of the function. z = 3t - = zp

A: Differentiate the function: - Differentiation is that the quantitative relation of a small amendment…

Q: Find the first partial derivatives of the function. f(x, t) = e-t cos(?x)

A: we will find the first partial derivative of the function.  Here , 1st , we will differentiate with…

Q: Solve the initial value problem for y as a function of x. (x² + 25) dy %3D 29, у(5) %3D 0 dx

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Q: Calculate the differential of the function y=2x x2−3 at the point x=3 when dx=−315.

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Q: B) Find for the Implicit function: dx x2 - sin(xy) + y² = 5xy

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Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

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Q: ら)1f u-L -*9 sin (2x ty), x = s? + 2t" and y= 2s -t" au using at find the chain rule Ond as

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Q: Q1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

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Q: Find the first partial derivatives of the function. (x, y) = x/1 + y9 fy

A: First partially differentiate f (x,y) w.r.t x.

Q: (d) Find the second-order partial derivatives of the function w = x2 + y

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

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Q: Find the differential of the function. 3 z = 3t - t2 dz II

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Q: 2(y-4x2) dx + x dy

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Q: Solve the disfertial equation xy' -Y =Xtan ) %3D

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Here we can use the following formula  If z=fx,y, thendz=fx dx+fy dyδzδy=fx δxδy+fy

Q: Find the differential of the given function y = xcosx

A: To differentiate

Q: Find the first partial derivatives of the function. x5 - y? x7 + y° f(x, y) II

A: partial derivative

Q: find ƒx , ƒy  . 1.ƒ(x, y) = e^(xy) ln y 2. ƒ(x, y) = cos^2 (3x - y2 )

A: Hi! You have uploaded multiple questions. As per norms, we will be solving only the first question…

Q: Find the differential of y=x^4-2x^2

A: Given query is to find the differential of the expression.

Q: Let y = (x² + 3)². Find the differential dy when x = 5 and da = 0.2 Find the differential dy when x…

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Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) =(xy –1)

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Q: Find all second partial derivatives of the function f(x, y) = (x + 1)³ + 2xy + y³

A: take the partial derivative with respect to x

Q: Find the differential dy of the given function. y = V4 - x2 dy

A: Consider the given function. The problem requires to find the differential dy of the given…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = xV9 - x2

A: Use  the differential of the form f = u.v

Q: Given f(x,y)= x³(x²y³-2y²), find all of the first and second partial derivatives.

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Q: Find the differential of the function. 8x y = e dy = 8e8x

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = (x+2)/(3x-8

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Q: Given the function y = x3 + 7x, find the differential dy.

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Q: Find the partial derivative. z = sin(10x°y + 11xy)

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Q: 2- find dy/dx e2x = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x –…

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Q: Find the first partial derivatives of the function f (x, y) = y5 – 3xy.

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Q: Use partial derivatives to find dy if y is defined implicitly as a function of x by the equation r2…

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Q: Q1- Find all the second-order partial derivatives of the function: -1 s(x, y) = tan¯¹(x)

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