7 Find all critical numbers of the function f(x) = x4 -x2 +6 2 A x = 1; x = -3; and x = 2 B The function has no critical numbers. c) x = 1 and x = -3

Q: 3. are The set of critical numbers of f(x) = 3 x3+ 2

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Q: 7. Find all the critical points of f(x) = (x² – 4x – 4) e² %3D and classify them.

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Q: What is/are the critical number(s) of the function S(2) = +4, f(z) :

A: f(x)=x2+4xDifferentiatef'(x)=x2x-x2-4x2f'(x)=2x2-x2-4x2f'(x)=x2-4x2

Q: Find the critical numbers of the function f(x) = 2x3 - 15x2 + 36x - 24. O a. -2 and 3 O b. 2 and 3 O…

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Q: The function f(x) = 13x – In(7x + 14) has a single critical number at x = A. Find this critical…

A: To find the critical number of the function

Q: Let f(x)=6√x−8x for x>0. Find the critical numbers

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x - 1) + 2* -x has a critical number…

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Q: B. Find the extreme values on the given closed interva 1. f(x) = 4x - 3; [1,5] 2. f(x) = x + 8;…

A: follow next step

Q: Find all the critical values of the function g(x) = 6x+2sin(3x). a. π( 2n + 1) -,nEZ. 3 b. π( 2n +…

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Q: 1. Find the critical points of the function f(x, y) = x² + 4xy. 2. Find the local maximum and…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: 8:(- 2, 2]– R, g(x) = [* (1 - 3)(r² + 1)dt L (1- 3)(*' + 1)dt

A: Answer is given in next step.

Q: 2. Use the Closed Interval Method to find the absolute maximum and absolute minimum values of f(x) =…

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Q: Find absolute maximum and minimum points, if they exist, of f(x)=x^3+x^2-X+1 on the interval…

A: We need to check value of f(x) on critical points and boundary values of interval to find absolute…

Q: find the critical number: F(x) = x^4/5 * (x-4)^2

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Q: Find all critical numbers in the function f(x)=7 + 3^1/3 - 2sinX on the interval 0 < x < 2π

A: Critical number

Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2" – x has a critical number…

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Q: Find the critical numbers for h(x)=x^2-x^4. Show all work.

A: The objective of the question is determine all the critical point of the given function.

Q: Show that 5 is a critical number of the function g(x)  = 2+ (x -5)3but  g does not have a local…

A: Critical number of a function is the value of x for which its first derivative is zero. So…

Q: 3. Let f(x) = 2x In(x). 3.1. Determine all the critical numbers to f(x). 3.2. For each critical…

A: 3.1. The given data is: fx=2 x lnx To determine all the critical numbers to f(x).

Q: 2. (a) Find the critical point(s) of the function f(x) = x2/3 on the interval -1,8| 2. (b) Use your…

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Q: 1. Consider the function F(x) = x³(x – 2)². a) Find all x values where F'(x) = 0 or F'(x) does not…

A: Critical numbers.

Q: 1. Find the critical points of the function f(x, y) = x² + 4xy. 2. Find the local maximum and…

A: f(x,y)=x2+4xy we have to find the critical points.

Q: Find the critical number of the function F(x)= x^-8In(x) X=

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Q: 1. (a) Find the critical point(s) of the function f(x) on the interval -4,4. x2 +4 1. (b) Use your…

A: Critical point and the absolute minimum is determined as shown below

Q: The function 7x 10 - - f(x) = %3D x - 3 has a single critical number at a = A. Find this critical…

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Q: Find all the critical points of the function y = h(x) = In(x + 1)6 – 2x + 5. Order the critical…

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Q: ,2 Let f(x) = x – 12x -27x + 1. Find the critical points of f(x).

A: Find the derivative as follows: f'x=ddxx3-12x2-27x+1        =3x2-24x-27

Q: Determine all critical points for the function. 3 12x 2 Ox= -2 Ox=-2, x = 0. and x = 2 Ox= 2 Ox= -2…

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Q: 8. Use the fact that the critical points of f(x, y) are found when vf(x,y) = 0 to show that (-3,-2)…

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Q: 6. Determine f such that f"(x) = 12x – 1 and 1 is both a critical number and a y- intercept of f.

A: A differential equation is an equation in x,y and derivatives of y. A linear differential equation…

Q: Find all critical numbers of f (x) =4x³+3x²– 18x – 2 @ -- (A B -1 D) 1

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Q: 4 If the critical number of the function f(x) =x is x 0, then the function %D is decreasing on (0,0)

A: We can find the decreasing interval as below.

Q: The sum of all the critical numbers of the function f(x) = x4 - 10x2 is what

A: Given function is fx=x4-10x2 To find the critical points we differentiate the given function with…

Q: * Find all critical numbers for the function: f (x) = (9 – x² ) O {-3,0,3} {0} {3} O {-3,3}

A: Take the derivative of the given function than equate to zero and solve for x. These values of x…

Q: The function f(x) = 10x – In(8x + 13) has a single critical number at x = A. Find this critical…

A: For critical number, f'(x)=0

Q: The point (0, 0) is the critical point of the function f(x, y) = Select one: O True O False x²y 2 +…

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Q: 2. What are the critical numbers of the function: f(x)=(x² - 4) A. X=0, x=2 and x =-2 В. X30 only С.

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Q: The set of critical numbers of f(x) =x³ - -x²+1 , are 2 A O {0,3} {-/3,/3} .BO .CO {3,3-} .DO {0.1}

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Q: Find the critical numbers and the open intervals on 31 which the function y x-3x+2 is increasing or…

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Q: Find all critical numbers of f(x) = 4x3- 3x2– 18x + 2 O -- (A) (B) 3 - 2. (D) O 1.

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Q: 26 a. The function f(x)=x- 6x² + 9x-3 is defined on the interval [0,5]. Find the critical points of…

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: x = -1 is a critical number for g(x) = xª +x³ +x - 1. But the second derivative test fails for x =…

A: Explanation of the answer is as follows

Q: 3/ Find the critical numbers of the function f(x)= x/5 (4-x)

A: The given function f(x)=x354-x

Q: 3. Find the critical points of the function f(x,y)=xln(x+y) Use the Second Derivative Test to…

A: The given problem is to find the critical points of the given function and use second derivative…

Q: 8) State the critical points of the function k(x) = x2 In x2.

A: Given,          The function kx=x2lnx2

Q: 2. Find all critical numbers for the function: g(x) = x/2x +1 B. 0. ÷.글 1 1 А. - - | 2 3 2 c. - D.…

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Q: 2. Let f(x) = 2x3 – 9x2 + 3. Find all critical numbers of f(x). a. b. Find the absolute maximum and…

A: Given  function  f(x) = 2x3-9x2+3

Q: Since there are no critical numbers to be considered, we only need to find the value of the function…

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Q: Find the critical numbers of the function f(x) = 2x -15x2 +36x- 24. O a. -2 and -3 O b. 2 and-3 O c.…

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Q: If f(x) = x² + k find k so that f has a critical number at x = 3. %3D

A: To find the critical number for any function fx we have to solve the derivative f'x=0. That is we…