The function f(æ) = 3 + 9x + 36x has one local minimum and one local maximum. This function has a local maximum at a = with value and a local minimum at x = with value

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: Find the minimum point for the function f(x) = 5x – 14x2 – 11x + 1

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Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: Find the absolute maximum and absolute minimum values of the function F(x)=x^3+6x^2−63x+3 a.…

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Q: Find the absolute minimum value of the function g(x) = (x – 2)3 (x + 2) on the closed interval -2 <…

A: It is given that, g(x)=(x-2)3(x+2) on the close interval -2≤x≤3.we have to find absolute minimum…

Q: For the function f(x)=x3-3x, its local maximum is which occurs at ( its local minimum is which…

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Q: Find the local maximum and minimum points of f (x) = (3x - 1)3.

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Q: A local minimum value of the function f(x) = 2x3 + 3x2 + 3 is 1) O 2) 4 3) 3 4) -1

A:

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 minimum value of the function. f(x) = -2 - 2x + x2

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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: )For the function f(x) = x-48x, its local maximum is which occurs at ( ... its local minimum is…

A: Solve by derivative test

Q: Consider the function 3 2 f(x) = 2x + 18x – 162x + 3, - 9 < x < 4. This function has an absolute…

A: Given, f(x)= 2x³+18x²-162x+3 -9=&lt;x=&lt;4

Q: Find the absolute maximum and absolute minimum values of the function f(x) = -x3 + 12x + 6, over the…

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Q: The function f(x): – 2x3 + 30x² – 54x + 7 has one local min - This function has a local minimum at x…

A: Here we have to find the local minima and maxima of the function.  The given function is…

Q: Consider the function f(x)=x^4−72x^2+9, -5≤x≤13. This function has an absolute minimum value  =?…

A: f(x)=x4−72x2+9f'(x)=4x3-72(2x)+0f'(x)=4x3-144xFor the critical numbers…

Q: For what x does the function f (x) = 1/4 x2 - x + 2, 0 … x … 8, have its maximum value?

A: For a given function f(x) the critical point are the value of x at which the derivative of f(X)…

Q: Find the minimum and maximum point of the function f(x)=x3-3x+1

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Q: Determine the absolute minimum value of the function f(x) = x³ – 6x – 1 where xe [-2,3] %3D

A: Explanation of the answer is as follows

Q: Find the maximum or minimum value of the function. h(x) =1/2x2 + 6x − 2 h(x)= Is this a maximum…

A: To find maximum or minimum of a function, we will take first derivative of f(x) to find critical…

Q: Find the local maxima and local minimum value of function f(x) =xx

A: We use first derivative test to find local maximum and minimum

Q: Find the absolute maximum and absolute minimum of the function f(x) r2-6x + 5 over (1, 6].

A: Given function: fx=x2-6x+5 To find: Absolute maxima and absolute minima over 1,6.

Q: For the function f(x) = x3 - 3x. Its local maximum is                 which occurs at ( Its local…

A: Given     fx=x3-3x

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: 3. Find the stationary points (local maximum and local minimum) of the function f(x) = -3x3 + 3x² +…

A: Solution:Given  f(x)=-3x3+3x2+3x+6To find Stationary points of the given function:Formula:dfdx=0…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given : A manufacturer finds that the revenue generated by selling x units of a certain commodity is…

Q: The function f(x) = 4 – 7x* has an absolute maximum value of and this occurs at x equals

A:

Q: The function f(x) = 6x + 9x¯1 has one local minimum and one local r This function has a local…

A:

Q: | Find the minimum point for the function f(x) =1 + 12x – 4x (2,-7) (0, 1) Oa.9) (1, 9) O (-1, -7)

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Q: Find the minimum value of the function f(x) = x – 10x. - Nood

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Q: Find the absolute maximum and absolute minimum of the function f(r) = 4x + 3 over 1, 4.

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Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 0.01x²…

A: Given that the demand function is Px=5000.01x2+1. We have to find the number of accessories must be…

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: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: Find the global and global minimum of the function f(x)=x4−8x2+3 within the interval [−1,2].

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Q: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local…

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

A:

Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

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: Consider the function f(x) = 4 – 6x?, – 3 < x < 2. - The absolute maximum value is and this occurs…

A: To find The absolute maximum and absolute minimum values of f(x).

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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Q: Consider the function f(x) = 0s xs 2. 9x2 +1' This function has an absolute minimum value equal to:…

A: To find absolute maxima and minima on the interval [0,2] for the function: f(x)=-x9x2+1