Find the domain of following functions X-1 (1) f(x) 3D In(х — 2) (2) f(x) = | x+1 (3) f(x) = x² – 3x + 1 (4)f(x) = vx – 1

Q: 1) Find the absolute extremum values of f(x) = x² - 3x + 12 over the interval 1, 3]. -

A: The extreme value of function at f(3)= 30

Q: Find all critical points of the function f(x)=x√1−x2.

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Q: The function f(x) = 2x 30x + 126x – 6 has two critical numbers. %3D The smaller one is x = and the…

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Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 20 over the interval [1, 3].

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Q: The derivative of f(x) = Vx +2Vx 1 is A f'(x) = (2x + 1) Vx² – x – 2 2x2 – 2x – 4 B none of the…

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Q: Find the critical numbers of the function. f(x) = x3 + 3x2 − 45x

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Q: Find the values of a and b such that f(x) = x³ + ax² + bx + 5 has x = 1 and x = 2 as critical…

A: The function f(x)=x3+ax2+bx+5 has critical points at x=1 and x=2

Q: 7. Find the absolute maximum and absolute minimum values of f(z) = 2x – 3r2/3 on the interval…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 5x…

A: The given function f(x) = ln(x2 + 5x + 13),    [−3, 1] Differentiate with respect to x…

Q: If we use the secant method on f(x) = x+x3+3 with X-2 0 and Xn-1 = 1, then Xn is_

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Q: The function f(x) 2x – 33x2 + 108x – 1 has two critical numbers. The smaller one is x = and the…

A: Explained below

Q: 9. f(x) = x3-8 %3D at x = 2 x-2 10. f(x)= (x+2)(x+3)-12 ,at x = 1 x-1

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Q: The function f(x)=2x^3−33x^2+108x-4 has two critical numbers. The smaller one is x =?    and the…

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Q: 1 b) x 2. If f(x)=x(2 In x-3) Find f'(x) 24/mx-4x

A: #2 Given, f(x)=x22 ln x-3

Q: g(x) = V4– x²

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Q: Find the critical numbers of the function. (E F(x) = x4/5(x – 5)² %3D

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Q: Find all critical points of the function f(x) = x² – 4x + 6 = x

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Q: Find the critical numbers of the function f(x) =x^6/5-12x^1/2

A: In the given question find the critical point of the given function: f(x) = x^(6/5) - 12 x^(1/2)

Q: The function f(x) = 2x 30x2 + 126x 1 has two critical numbers. - The smaller one is x = and the…

A: Solution: the objective is to find the critical numbers of the given function

Q: The critical points of the function f(x)= 2x-24x+1 are O a. -2,0 O b. 1,2 O c. 0,2 O d. -2,2

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Q: Determine all critical points for the function. f(x) = x3 - 12x + 3 x = -2 and x = 2 Ox = -2 O x = 2…

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Q: Find the critical numbers of the function.

A: Let f be defined at k if f'(k)=0, then k is a critical number of f.Since, the function is given by…

Q: find the critical point for the function f(x)=2 x3+3 x2 - 72x+ 14 %3D O None O 4,3 -1,2 O 3,-4

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Q: The function f(x) = 2x° 39x + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Topic = Derivative

Q: If f (x) = x(x - 2), then the critical points %3D of the function f(x) are

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Q: 1. Find all critical points for the functions: a) f(x) = x² – 10x – 9 5 – x b) f(x) = x² – 6x + 30 -

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: 1. f(x) = 3x² – 12x + 1 at the point (0, 1) 2. f(x) = x² + 1 at the point (0,1) 3. f(x) = x² – 2x +…

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Q: Find the critical numbers for the function f(x)=|3x-4|.

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Q: In the function:  f(x)= (3x^2)ln(x) , x>0 What are the x-coordinates of all local minima and…

A: Given:f(x)= (3x^2)ln(x) , x>0

Q: 1. Find all critical points for the functions: a) f(x) = x² – 10r- 9 %3D 5 -r b) f(x) = %3D r2 - 6x…

A: Given that the functions    (a) f(x) = x2 -10x -9    (b) f(x) = (5-x)/(x2-6x+30) Here we have to…

Q: The function f(x) = 2x° – 27x² + 108x – 5 has two critical numbers. The smaller one is x = and the…

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Q: What are the critical points for the function f(x) = x³ + 9x² + 15x – 8 %3D None x = -1 and x = -5 x…

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Q: Use the linear approximation (1 + x)k = 1 + kx to find anapproximation for the function ƒ(x) for…

A: It is known by linear approximation that 1+xk=1+kx for the values of x near 0. The given function is…

Q: f(x) = 27x² + 3x5 - 24x³ + √2x f(x) = + √2x 3 x x5

A: Find the general anti-derivative F(x) + C for the following problem:

Q: Find the critical numbers of the functions. (3) f(x)= |x-1| 1 (4) f(x)= (x² –x)

A: Critical numbers are those points on the function where its derivative becomes zero or infinite.

Q: Find all critical points for the function f(x)= x²e!-2¤. %3D

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Q: Find the critical numbers of the function. f(x) = x-4ln(x)

A: Given function :

Q: Find all the critical points of the function f(x) = x^3 - 2x^2 - 15x + 2 on the interval [-1, 3]

A: Let's find.

Q: 5. Determine the critical points of the function: f (x) In(x² + 4x + 14) %3D Enter your answer

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Q: f(x) = xvx + 2

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Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 10 over the interval [1, 3].

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Q: If f(x) = x² find a ō such that 0 < lx - 21 < & implies 1x² - 41 < F when = 1.

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Q: Find the critical numbers of the function F(x) = x/5(x - 9)²

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Q: 6 Find the critical numbers of the function f(x) = x5 - * – 12x2 .

A: The given function is  fx=x65-12x12.

Q: 4 If f'(x) = x³ x'-2x +x+2, then f has inflection points at 3. n X=0 X= -0.5 X-1 x-0.6 X-2

A: Point of inflection  Those points where cancavity changes called inflection points

Q: 19.yf(x) = 2|x – 1|; f(-2). f(0), f(¿). f(2), f(x + 1), f(x² + 2)

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Q: 1. f(x) = 3x^3 -2x^2 -4x +1; g(x) = -5x +6x^3 -2 +x^2 . Find (g-f) (x). * %3D -3x^3 -3x^2 + x +3 O…

A: Given: f(x)=3x3-2x2-4x+1g(x)=-5x+6x3-2+x2 To find (f-g)(x)

Q: Find the critical numbers of the function. f(x)=32x-2x^2 x=

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

A: To find the critical numbers, first find the derivative of f(x) then set the derivative equal to…

Q: Find the critical numbers of the function  f(x) =| 3x - 4|

A: Critical value: If f'(x)=0 or f'(x) does not exist at x=c, then x=c is the critical values of the…