Given the function f (x)=4x³– 39x²+ 90x + 2, which of the following describes its absolute extrema at interval [1, 6]? A Absolute maximum at ; absolute minimum at f(5) B Absolute maximum at f(1) ; absolute minimum at f(6) Absolute maximum at f(6) ; absolute minimum at f(10) D Absolute maximum at f(5) ; absolute minimum at

Q: The function f(x)=12-6x4 has an absolute maximum value of _____________ and this occurs at x equals…

A: Given, Function f(x)=12-6x4

Q: Does ƒ(x) = (7 + x)(11 - 3x) 1>3 have an absolute minimum value or an absolute maximum?

A: Here we have,  f(x)=(7+x)(11-3x)13 differentiate with respect to x

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function f(x) = 11+ 4x +…

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Q: Find the absolute minimum and absolute maximum values of f on the f(x) = In(x2 + 3x + 8), [-2, 2]…

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Q: Given the piecewise function: 4x + 12 { x<-2 - 1<x f(x) = -2x + 6 18. What is the interval of the…

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Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 %D…

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

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Q: Find the absolute maximum/minimum of function f(x) = x3 - 16x + 1 %3D

A: fx=23x3-16x+1 to find the critical points take derivative=0 ddx23x3-16x+1=0 ddx2x33-ddx16x+ddx1=0…

Q: Consider the function f(x) = 2 - 7x², −4≤ x ≤ 1. - The absolute maximum value is and this occurs at…

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Q: Find the absolute maximum and absolute minimum f(x) = x³ – 6x² + 9x + 9, [-1, 8] %3D absolute…

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Q: The function f(x) = 2x3 + 39x? 216x + 10 has one local minimum and one local maximum. - - This…

A: we will find the local maximum and local minimum.

Q: Without the aid of a graph, find the absolute maximum and minimum values of the function f(x) = 36x°…

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Q: 6. a) Find the absolute maximum and the absolute minimum of f(x) = x – 2x for -8 < x < 27.

A: Part a,Given,          fx=x23-2x13  for  -8≤x≤27

Q: consider the function f(x) = -x/(8x^2 +1), where 0 ≤ x ≤ 2 What’s the absolute maximum value equal…

A: Given data: The given function is f(x)=-x/(8x^2 +1). The given limits of x are [0, 2]. The…

Q: Find the absolute maximum and minimum of ƒ(x) = 2x - 3x2/3 (a) on the interval [-1, 0.5]; (b) on the…

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: Find the absolute maximum value of g(x)=−2x^2+x−1 over [−3,5].

A:

Q: Given the function f(x) =4x3 – 39x²+ 90x+ 2. which of the following describes its absolute extrema…

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Q: 7. Find the absolute maximum and the absolute minimum off(x) = 2x³ – 3x - 12x + 5 on the interval…

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Q: Consider the function f(x) = 2x° + 9x² – 108x +1 with - 6 <x < 4 | This function has an absolute…

A: Given, f(x) = 2x3 + 9x2 - 108x + 1  Plot the function on the interval -6&lt;= x &lt;= 4. For solving…

Q: Find the absolute extremum within the specified domain. 21) Minimum of f(x)=(x2+4)2/3; [-2,2]

A: According to our policies we are allowed to solve one question at a time. Kindly repost other…

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 3 f(x) = 4 + 12x…

A: Given function is f(x)=4+12x+3x2, x&gt;0 Differentiate f(x) with respect to x. f'(x)=12-6x3

Q: Find the absolute minimum and absolute maximum for y = x3 – -+ 4x +1 on [-2,2].

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Q: The extremum of f(x) = -5x2+4x+17 is a minimum.

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Q: Find the absolute maximum or minimum if it exists. 3. f(x) = 2x2 + 3x – 2 4. f(x) = 1 – x – x2

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Q: Find the absolute minimum of the function f(x) = x²³ - 3x² on the interval - 1 ≤ x ≤ 3. -4 3

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Q: of all real numbers x such that -3 < x < 5. (a) For what values of x does f have a relative maximum?…

A: at x=-3 and x=5 f is relative maximum

Q: For the function f(x)= x-2ln(x), 1/2 is less than or equal to x which is less than or equal to 8.…

A: Given:The function f(x) = x - 2 ln(x), the interval is

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 9. f(x) = 10x +…

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Q: Find the absolute maximum and minimum values at the indicated interval f(x)=x^2-6x-3 ;[1,6]

A: Given function is: First find the critical points of the function by putting:

Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

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Q: 6) Find the absolute maximum and absolute minimum values of f(x)= 2x-3x -12x+ 24 on the closed…

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Q: Consider the function f(x) = -x/(9x^2 + 1) where 0 ≤ x ≤ 2 What is the absolute maximum ? At what x…

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Q: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?.

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Q: Find the x-coordinate of the absolute maximum for the function 4 +5 In(x) f(x) = x > 0. coordinate…

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Q: For what value of x does the function f(x) = -x3 – 4x attain the absolute minimum in the…

A: The value of function which is least in entire range of function is called minimum value of…

Q: for what value of x does the function f(x) =1/3x3-4x attain the absolute minimum in the interval…

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Q: 3) Find the abolute maximum and absolute minimum valuer of f(x) = x²-6x+5 %3D

A: using double derivative test

Q: Find the absolute maximum and absolute minimum values of f(x) = 2x2 −20x+550 on the interval[1,10]

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Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 of…

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Q: Find the x-values of the absolute extrema of f(x) = 3x" – 4x³ –8 on the interval [0,2] A absolute…

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Q: Consider the function f(x) = 4 – 6x², – 4 < x < 2. | - The absolute maximum value is and this occurs…

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Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: Find the absolute minimum value on​ [0,∞​) for f(x) = 2x2 -12x + 6

A: To find the absolute minimum value of the function on the given interval.

Q: 3 The graph of f(x) = 2x° + 15x² – 84x + 24 has two horizontal tangents. One occurs at a negative…

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Q: The function f(x) = – 2x + 45? 300x + 7 has one local minimum and one local maximum. - - This…

A: Given,f(x)=-2x3+45x2-300x+7differentiating both the sides w.r.t. xf'(x)=-6x2+90x-300for local maxima…

Q: Find all values of x, if any, where the function f(x) = x° – 5x³ – 20x – 2 has local maximum and…

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