Find the local extrema of the following function. .3 f(x,y) = x° - 12xy² + 48y2 Find f, (x.y) and f,y(x.y). fy (x.y) =

Q: If y = Vx(3 – x)², show that- dy (3-х) (3-4x) Find the x coordinates of %3D dx all points on y =…

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Q: df Find and dx dy for the following function. 7 f(x.y) = x' - 3xy + 6y? df

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Q: Find df/dx and df/dy for the function.  f (x, y) = 2x2ey

A: given:  f (x, y) = 2x2ey

Q: Find for the following functions: - dx 3x2-4x+4 1) y = %3| Z

A: dydx is called the derivative of function y.Derivatives of polynomials are :→dxndx =…

Q: find the derivative of the function at P in the direction of u. f(x, y) = 2xy – 3y². Po(5, 5). u =…

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Q: dy Q:: Find for the following functions: - dx 1) у %3D (х — 3)(2х + x?)

A: Explanation of the solution is given below...

Q: Which sets are equal to the set (a, b, c)? {b, b, b, x, x, x, C, C) {b, b, b, b, b, c, c, c, a, a)…

A: What is Set: Set is the language of mathematics. Through set, we can define mathematical expressions…

Q: Find 2. where f(x) = x'tanh2(Vx). dx

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Q: Let u(t) = (3,3tt) and v(t) = (3r, - 21,2). Compute the derivative of the following function. %3D…

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Q: 1. Consider the matrices A₁ 4 = ( 1 ) - 1 3 0 A₂ 42 = (3-2) ₁ 4₁ = ( 2² -2²), , A3 0 -2 These…

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Q: find the indicated quantities for the function y = f(x) = 3x². The slope of the secant line through…

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Q: Differentiate the function. 8 y' = y = 2ex + X

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Q: Find f(x, y) and fy(x, y). 25. f(x, y) = y3/2

A: The given function f(x,y)=y-32tan-1xy

Q: Q2: Find Wx, Wyy, and Wxy for the function ху W = x sin(y) + y sin(x) + xy ||

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Q: Differentiate the function. y= (7x -x+4) (-x³ +5) - x + 4) ( – xº +5) y' = %3D

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Q: true or false prove your answer If (an) is Cauchy and p is a number such that for infinitely many…

A: Given that              an is a Cauchy sequence and p is a number such that for infinitely many…

Q: 1 1. (3xy + y²) + (x² + xy) 4/2 = 0 {x³y + x² y² = c} dx ― 2

A: Given differential equation

Q: dy EX.8: Find for the following functions: dx 1) y = ( x²+ 1)5

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Q: dy d {-3xy} in terms of x , y , and dx y is a differentiable function of x . Write dx

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Q: Find dy for the following functions: - dx 6 1) у - 2 y = * 1 1 Vz² 8x4 2x8

A: 1) y = xn     dydx = nxn-1 2) y = 1x      dydx =-1x2 3) y = z     (a) if z is constant…

Q: dy Q5: - Find for the following functions: dx 1) y = 3x? – 2Vx+ 2) y = (x – 3)(1 – x) 3) y =-t +

A: In the following steps we can find out the derivative of the function with respect to x