Find and classify the absolute extrema of the function g(x)=x^2−144 on the domain D=(−12,12). If the function doesn't have an absolute extremum, write None for your answer.

Q: Determine where the absolute extrema of f(x) = (4x)/(x^2+1) on the

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Q: Find the absolute extrema of the function f (x) = 30x – x² over the interval (-o, 00)

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Q: Find the absolute extrema of the function on the closed interval.                         f(x) = 2x3…

A: We find the critical points by solving f'(x)=0 -1 is not in the interval [0,3] 1 lies in [0,3]

Q: (mx²- -3x+1 f(x) = x + 1 of function x=1 continuous at the х-1 X = 1 point of What should m and n be…

A: The given function is, f(x)=mx2-3x+1x-1,x≠1f(x)=n,x=1. That is,…

Q: USE THE SECOND DERIVATIVE TEST To FIND LOCAL EXTREMA OF THE FUNCTION. F(x)= -x³ +12x² -5ON R.

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Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: Differentiate the function In x f(x) = In 2x +3, x>0

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Q: If - 2x +1 ,when X#! and fcx)= 3 when x= 1 show that The function fex) Continuous at X - 1

A: The detailed solution is as follows below:

Q: Find the extreme values on the interval:  f (x) = ex − 20x − 1, [0, 5]

A: Given, fx=ex-20x-1 in [0,5]

Q: Find invers of function f(x)=1/2x+1

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Q: Give an example of a function that is continuous but differentiable at x=2

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Q: find the extrema of f(x) =2x3-6x on [0,3]

A: Given:

Q: Find the value of k that makes function continuous at x = 4 3x + 6 x > 4 f(æ) = 6x – k x <4

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Q: 1. X > VX + 4 3+x 2. > 8 x+1 3. 4X 2 2 X+2

A: Since you have asked multiple questions, we will solve the first three questions for you. If you…

Q: of n'(x)= 2x-1/x2-x

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Q: 2 that also passes Write the equation for a quadratic function f(x) with roots at x = 7 and x =…

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Q: Find the absolute extrema of the function on the closed interval.

A: Given,  The function is  y=3-t-3 Interval is [-1,5] The given function is a modulus function which…

Q: Use the second derivative test to find the local extrema for the function. y = 3x5- 25x3 + 60x + 20

A: We can use the application  derivative in order solve the given problem.

Q: Find the absolute extrema of the function on the closed interval.

A: Relative extremum of a function are critical points of the function. Critical points of a function…

Q: use the chain of rule to differentiate f(x) = (x^10+ln(x))^10. What is the value of f^1(l)?

A: The given function f(x)=x10+ln x10

Q: Obtain the ROOT of the f(x)=x²-2e-×+e-2x function using

A: b. Newton Rapshon method  fx=x2-2e-x+e-2x f'x=2x+2e-x-2e-2x , x0=4 1st iteration…

Q: Use secant method to estimate a root for function f(x)= x3 + 2.7x+ 2.6 = 0, starting for interval…

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Q: Prove that constant function is differentiable at ever x ER.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: ylnx Iny da + dy = 0

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Q: Find the absolute extreme of the function on the closed interval y = 3cosx ; [0,2π]

A: To find the absolute extreme of the given function.

Q: f(x): 2x at x = 4 x2-3 f(x) = V3x - 10 at x = 2

A: According to question,a. Given function,fx = 2xx2 - 3

Q: Vhat is the largest output value of the function z = 2x + 2y that can be obtained by plugging in…

A: In this question, the value of the function is checked at the corner point. The maximum value of the…

Q: What is the absolute extrema for (1-x) / (x^2+1) with [1,5]

A: We find the derivative of the given function using the quotient rule.

Q: Find the root between [-1,0] where f (x) = (x+2)' +2x – 5 with error epsilon=0.1 by using False…

A: There are many methods to find the roots of an equation in a given interval. One among such method…

Q: Find the exact location of all the relative and absolute extrema of the function: f(x) = 5x^3 − 60x…

A: Given function f(x) Differentiate the function and make it equal to zero for critical points

Q: Locate the absolute extrema of the function on the closed interval. f(x)= x³ 12x, [0, 4] -

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Q: Determine where the function F(x)=8x/x2+4 is continuous. The function is continuous on ?

A: Suppose   are continuous function at then rational function is continuous at   if .

Q: 5. * y = ( In æ)²

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Q: What is the domain of g(x)=ln(25x-x^2) Show all the work.

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Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

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Q: Graph the function y =x + 1                                      x2+1 by applying the first and…

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Q: Find the absolute extrema of f(x)=x^3-6x^2+5 on the interval [-3,5]

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Q: 4- х, хS0 10) Determine if the function y(x) =- 3x, is differentiable at x = 0. X>0

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Q: Find the critical points of the function f(x)=x2lnx.

A: We need to find the critical points of the given function.

Q: Find the point on the line y = – 4x + 2 closest to the point (8, 9). - The function giving the…

A: Given, equation of line : y = -4x +2 And  The point : (8, 9) {outside the line}

Q: 8(x) = X -x3 + 2x x4

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Q: 2. Is the function given by F(x) = x². 5x + 6 continuous over the interval (-5, 5)? Why or why not?

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Q: Find the smallest positive root for the given function by using the false position method with…

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Q: Use the second derivative test to locate all local extrema for the function f(x)=x3−32x2−18x. At…

A: It is given that the function is fx=x3-32x2-18x. It is required to find all local extrema for the…

Q: For what value of x does the function f(x) = x³- -4x attain the absolute maximum %3D in the interval…

A: Given that : The function f is  fx=13x3-4x   ,..........(1) To find: The value of x∈-5, 5 for which…

Q: Find an approximation that is accurate to three decimal places to the zero of f (x) = x³ -3x- 1 in…

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