relative extremum/ extrema OF the Find the fC x,y) - x ²- 2 Function y t 2

Q: Linear approximationa. Write the equation of the line that represents the linear approxima-tion to…

A: 1) Given that, fx=12-x2a=2f2.1

Q: Absolute minimum value on (0, 0) fo 8. f(x) et %3D

A: the function fx has absolute minimum value at x=c if fx≥fc for every x in the given domain.

Q: Critical points Find all critical points of the following functions. ƒ(x, y) = y3 + 6xy + x2 - 18y -…

A: To find the critical points of f  we must set both partial derivatives of f to zero and solve for x…

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A: Any point in the three dimension is represented as x, y, z. A graphing utility can be used to plot…

Q: Find all the relative extrema and saddle points, if any, of the given function below:…

A: Suppose that (x, y)=(a, b) is a critical point of f(x, y)and D(x, y)=(∂2f)/(∂ x2)(∂2f)/(∂…

Q: QI) Find all riticil points, ocal minimum and maximm S(x) =-2 +3 Q2) Find the equation for the…

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Q: Q8/derivative the function Y=sin(x2-x). * а- у'- сos(x?-x)*(2x-1) -(2х-1) сos (x2-x). b- y'3…

A: See the details solution in below

Q: Implicit Differentiation To find y' given f(x,y) = 0: 1. Differentiate both sides of the equation…

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Q: Function Degree Yes No b 1. f(x) = 5x+ 1 2. f(x) = -6x – 7 3. f(x) = 3x |4. f(x) = x2– 4 5. f(x) =…

A: We have to fill up the following table: Function Degree Yes No m b 1. fx=5x2+1           2.…

Q: Average and marginal profit Let C(x) represent the cost ofproducing x items and p(x) be the sale…

A: Px=xpx-Cx                           Px=100x-0.02x2-50x-100…

Q: Tangent Line. If p(x) = 3x² + 2x4 + 8 + 2 Then the equation of the tangent line to the function p(x)…

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Q: Investi gate for maxima and minima the function f(x) =[{2(r-1)(t-2) +(y-1)°(t-2)}}dt

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Q: Linear approximationa. Find the linear approximation to the function ƒ at the point (a, b).b. Use…

A: The linear approximation of f(x, y) at (a, b) is the linear function L(x, y)=f(a, b)+fx(a,…

Q: 3x+2y (8) Show that the function f(x,y) = is continuous at (4,-2). x+y+1

A: In question we have to show that function is continuous.

Q: MY NOTES A Find the critical numbers of the function. (Enter your answers as a comma-separated…

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Q: Tangent Line. If p(x) : 2x2 + 6х3 + + 4 (a) Then p'(1) = (b) The equation of the tangent line to the…

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Q: Blank Common Problem (NAS) Find the local linear approximation L (x) of the function f (x) = x? + 3…

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Q: Show that the function g defined by yVF g(x, y) = y² + y² + √√x²¹ 2. is not continuous at (0, 0).…

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Q: slope slope = slope = 1 d) y= -2x+ 1 e) y= -3x+ 3 f) y=1.5x - 1 y y y 1 -1 1 2 coefficient of x:…

A: Have to fill the table . find the change in y and slope

Q: Derivatives from graphs Use the figure to find the followingderivatives.

A: Given To find  ddxfxgxx=4

Q: The Reciprocal Rule (a) The Reciprocal Rule says that at any point where the function v(x) is…

A: (a) Obtain the derivative of 1v using the quotient rule as shown below:…

Q: y (e + e-2)- (2y – y) e- y = 0

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Q: the table of values for y = f(x) to complete a table for y = f=1(x). (Order your answers from…

A: Given query is to find the the inverse function from the table.

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: lanarithmic differentiation bo find desivative of the function. (x+)"(x-s y= (x-3).

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Q: f(x) = x- 0.2] + 4 vhether the function is even, odd, or neither. slx) = x' - 1 flx) = -|x +2| f(x)…

A: Given the function 1) f(x)=x3-12) f(x)=-|x+2|3)f(x)=x-13We need to find whether the given function…

Q: funchioN fo= x-2x-3 X+3 find the secod derivatve tx): Baseden: criical value -6.5, 0.5 and second…

A: Given: fx=x2-2x-3x+3   We know that; The Quotient rule: fg'=f'·g-g'·fg2 The chain rule:…

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Given that  fx,y=y2-8ycosx, -1≤x≤7 We have to find the local maximum value and local minimum value…

Q: 0 < x, y < 1 Determine the global extreme values of the function f(x, y) = 2x³ – 4y, fmin fmar

A: To find the global extreme values of the function

Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the…

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Q: 6 Tangent Line. If p(x) = 5x² + 5x4 + 4 %3D Then the equation of the tangent line to the function…

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Q: Find the global maximum and minimum for the function on the closed interval. f(x) = 3e¬*sinx 0 < x<…

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Q: nd all relative extrema of the function. Use a graphing utility to verify your result. (If an answer…

A: find critical point check it for maxima or minima

Q: dDSBlute extrema of the function. (Order your answers from smallest to largest x.) X - 4 f(x) %3D x2…

A: we  use first derivative test to find relative maximum and minimum

Q: Critical points Find all critical points of the following functions. ƒ(x, y) = x3 + 6xy - 6x + y2 -…

A: The function is fx,y=x3+6xy-6x+y2-2y.   Partially differentiate the function with respect to x.…

Q: af If fx * and fx = find fyyxx if f = x³ y² - a²f y ax x+ln(x)

A: Given function is  f=x3y2-yx+ln(x) To find  fyyxxx

Q: e function f(x) = 6x + 9x. For this function there are fou , (A, B),(B, C), and (C, o) where A, and…

A: In this question, the concept of critical point is applied. Critical Point The critical points of a…

Q: ection: Find the equation of the tangent line to the function at x=a. e slope m of the line tangent…

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Q: 1 and g(x) I + 4 12 find the domain of f(g(x)) Given f(x) = %3D I+1 Domain:

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Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) f(x) = x4 – 4x3…

A: Given, fx = x4-4x3  We have to find the relative extrema of the function.

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: AVERAGE VALUE OF THE FUNCTION QUESTIONS PT. II A. y = 3cos(x)-5, [--pi, pi] B. y = 3ex + 4, [0, 3]…

A: We need to find average vale.

Q: Basic Catalus 1. f(x)- f(xth) = 5 (x +h) - Sx - 3 lim 5(x+h)-3- [5x-3] = lim 56 +5h -3 - 5% +½ h-70…

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Q: arctan(x) tan2(t) – 3tan(t) + 2 1 + t2 Let f(x) = dt (a) Find the intervals of decrease of f. Show…

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Q: Function y = sin(x) = sin(3x) 18 (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = (x,…

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = ey? The domain of…

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Q: BESSL'S FUNCTION CONSIDER (2. THE CASE V= x*y" +xy! +(x² -v²) y - 0- IN THE PORM = 0.

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Q: (b) De ermine the z-coordinates of all local maxima and local minima. Let f(x)= x² - 4 sin x for 0…

A: Solution Question 2 Given,  fx = x2-4sinx    for  0≤x≤2π We have to find the intervals on which f is…

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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