Let ​f(x)=2x2+8x+7. ​(A) Find Δy and dy for the function f at x=2. ​(B) Graph the functions Δy and dy from part A. ​(C) Compute the values of Δy and dy from part A for Δx=−0.2.

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

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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: Use the Chain Rule to solve the indicated partial derivatives. Simplify your answers whenever…

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Q: Find the indicated partial derivative(s). f(x, y) = x7y8 – x6y7; fxxx, fxyx fyxxx(x, y) fxyx(x, y)

A: We have to find the partial derivative

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Q: Find dy/dx of the following function using Chain Rule. y=(x3 + 3)5

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Q: Find the partial derivative. f(p, q) = ev af

A: From the given problem; fp,q=e6pq As we know that: The chain rule: fgx'=f'gx·g'x The Power rule:…

Q: Find both first partial derivatives. h(x, y) = e-(x$ + y5)

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Q: 1-Find the mixed partial derivative: w = e* +x In(y)+y ln(x)

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Q: Find the first partial derivatives of the following function. f(x,y) = 8x4y

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Q: Evaluate the indicated partial derivative. Z-9xy-3x-y:. A 18x-15x B B 18ty-15xty 9x2-3x$ D 93y-3ry

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Q: Q3:Find all the second order partial derivatives of the f(x, y) = 2x*- 5x'y3-y

A: Given: A function fx,y=2x4-5x3y3-y3. First, find first-order partial derivatives fx by…

Q: Find the partial derivative of f(x,y) = 5x3y2

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Q: ӘТ ӘР V

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Q: z = x3 – xy? + 3y² |

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Q: Find the partial derivative. xev10ry Əx

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Q: Find the indicated partial derivative(s). f(x, y) = x7y - x©y³; fxxx fxyx fxxx(x, y) fxyx(X, y)

A: Find the partial derivative with respect to x and y solution is given below....

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

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Q: Find both first partial derivatives. g(x, y) = ln√x2 + y2

A: Given function is gx,y=lnx2+y2 Partial derivative of function is derivative of function with one…

Q: Find the indicated partial derivative. 4x. f(x, у) 3 5y е **; дудх дудх

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Q: determine dy/dx of the implicit function: 2x2y-sinxy2+e-xy=10

A: Given implicit function is  2x2y-sinxy2+e-xy=10 To find: dydx

Q: 2. f(x,y) = ye3x²+4y³

A: Given query is to find the fist order partial derivative.

Q: Find the partial derivative. z = (2² + 2x – 6y)"

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Q: Find the first partial derivatives of the following function. f(x.y) = 9x7y

A: The given function is fx, y=9x7yTo find fx and fy

Q: Find the first partial derivatives of the following function. Find both fx and fy

A: We find the first partial derivatives of the following function.   Find both fx and fy

Q: What is the mixed, second order partial derivative of this function. f (x, y) = / 2x² + y²

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

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Q: Find all second-order partial derivatives for the following. f (x, y) = 2y ln x

A: To find all the second order derivative for the function f(x, y)=2ylnx

Q: find the first partial derivative  f(x,y) = squareroot (2x+y^2)

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Q: Find the partial derivative. = (a² + 4x – 2y)° - dz II

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Q: 1- Find the mixed partial derivative: w = e* +x In(v)+y ln(x)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: When would you use a partial derivative? When you only need to differentiate half of a function. O…

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

A: Derivative z with respect to x and y

Q: Find the partial derivative. 3p f (p, q) = e af

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Q: If g(x.y) -4+2x %3D then the mixed partial derivative at the point (- 2. is: 8y

A: we have given g(x, y).  We have to find the mixed partial derivative at the point (-2, 1/2)

Q: Evaluate the implicit function by finding dy/dx of x³+3y=3xy

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Q: Compute the indicated partial derivative. g(x, у) %3 сos(x + ) 9xxy

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Q: Find the first partial derivatives of the function. f(x, у) = 3x + 5y + 4 fy fy

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Q: Find the first partial derivatives of the function. x5 - y5 x° + y f(x, у)

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Q: Q2: Find Partial derivative of the function with the respect with each variable f(x, y) = (x² - 1)(y…

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Q: Q3:Find all the second order partial derivatives of the f(x,y) 2x* - 5x'y3-y3

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Q: xy = In (2y) – e

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Q: Find both first partial derivatives. h(x, y) = e−(x2+y2)

A: The given function is hx,y=e-x2+y2. To find the partial derivatives. Solution: The given function is…

Q: Find the first partial derivatives of the following function. f(x,y)-./ 3x2 + 8xyty2

A: To calculate the first partial derivatives of the given function of two variables

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: Q3:Find all the second order partial derivatives of the f(x,y) = 2x*- 5x'y-y3

A: the given function is  f(x, y) = 2x4 - 5x3y3 - y3

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 dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2…