Find all relative extrema and saddle points of the function. Use the Second Partials Test where applicable. (If an answer does not exist, enter DNE.) ه امر تمر ( - =G- x² + y2 )e! - x2 - y2 relative minima (x, y, z) = ( (smaller x-value) (x, y, z) = ( (larger x-value) (х, у, 2) 3( (smaller y-value) relative maxima (x, y, z) = ( | (larger y-value) saddle point (x, y, z) =

Q: 2. As an application of partial derivative of multi-variable functions, provide one page abou…

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Q: 6. (-4, 5)R 4 bon -6 -4 -2 4 -2 (3, -2) HAND Graph of fg'(x) The graph of the continuous function f,…

A: Here, g'(x) = f(x), so, the horizontal tangent for g(x) occurs when f(x)=0, i.e., g'(x) =0. In open…

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A: Given: The function Objective: Using gradient descent, find the minimum value of  and the…

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Q: Suppose that f(x, y) = 4x² + 4y¹ then the minimum is -2xy

A: 1st we will find critical points  At critical point    fx ( partial differentiation  with respect to…

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Q: Find the critical point of the function f(x,y) = 7x²y² + 5y² + 9x². o a. (0,1.13) o b. (-0.85,0) c.…

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Q: Assignment No. 2: Determine the derivative of the ff. functions 1. y = 6x4 + 7x3 - 8x2 + 9x - 10 2.…

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Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A: Second derivative test is not applicable then we apply first derivative test.

Q: Find the critical points of the functions f(x, y) = x² + 2y² - 4y + 2x, g(x, y) = x² - 14xy + y Use…

A: The Critical PointThe point is said to be critical point if The Second Derivative TestSuppose then…

Q: Which one is one of the critical points of the function f(x, y) = 2x + 2y + 8x - 4y + 11? Select…

A: Solution is given below:

Q: Hermine all second derivatives of 2. W3= (x*+y²) + 2arcto %3D

A: we have,  W=lnx2+y2+2arctanyx partial derivative with respect to x ∂W∂x=∂∂xlnx2+y2+2arctanyx

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Q: Using linear approximation of f(x,y)=*+Y at (3,2), the value of f(2.94,1.94) estimated to be x-y

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Q: 4. у %3D х6 - 3x + 5x2 7 2 4 6 8 5. у %3D (x + 10) (2х - 5) 6. у %3D (x3 + 1) (3x2 - 1) 7. у %3D 5x…

A: 4)y=x62-3x44+5x26-78Differentiate w.r.t.x using power rule.dydx=6x52-3*4x34+5*2x6-0dydx=3x5-3x3+53x

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Q: Examine the function for relative extrema and saddle points h(x,y) = (x² + y²) + 2 %3D

A: Given function is h(x,y)=(x2+y2)1/3 + 2 We will calculate relative extrema and saddle points of this…

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