Suppose f(x) =x++x³ – 6x2. Determine the value of x where f has a relative maximum value. O x= - 2 x=0 O x=2 x= - 3

Q: suppose f’(x)=x^4+x^3-6x^2. Determine the value of x where f has a relative maximum value.

A: The solution for the above question is as shown below.

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

Q: Consider the function f(x) = 5 – 6x², – 4 < x < 1. - The absolute maximum value is and this occurs…

A: Given function, f(x)=5-6x2  -4≤x≤1

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Q: Suppose f'(x) =x4+x3 – 6x2. Determine the value of x where f has a relative minimum value. A x=0 x=2…

A: Given :  f(x) = x^4+x³-6x²

Q: Suppose f'(x) =x++x3 – 6x². Determine the value of x where f has a relative maximum value.

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Q: Suppose f '(x) =x4+x³– 6x². Determine the value of x where f has a relative minimum value. A x=2 (B…

A: f'(x)&gt;0 - then f(x) is increasing f'(x)&lt;0 - then f(x) is decreasing

Q: suppose f(x)’=x^4+x^3-6x^2. Determine the value of x where f has a relative minimum value.

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Q: Suppose f'(x) =x++x³- 6x². Determine the value of x where f has a relative minimum value. O x=0 O…

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Q: Suppose f(x)=x+x³-6x2. Determine the value of x where f has a relative minimum value. A x=2 (B x=0…

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Q: Suppose f'(x) =xr++x³– 6x². Determine the value of x where f has a relative minimum value.

A: F''(2)  greater then 0

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A: The answer is

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A: f(x) = ax3 + bx2 + cx + d f(x) = 3ax2 + 2bx + c Now, f(x) = 0  at x = -2, 1 Hence , roots of above…

Q: Consider the function f(x) = 5 – 6x?, 4 < x < 2, The absolute maximum value is and this occurs at x…

A: Maxima and minima of the function

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A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

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Q: Consider the function f(x)=1−6x^2, -4≤x≤2. The absolute maximum value is    and this occurs at x =?…

A: ddxxn=n xn-1

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Q: Suppose f'(x) =x++x3- 6x2. Determine the value of x where f has a relative maximum value. (A) x= -2…

A: Using condition of second derivatives.

Q: Suppose f(x) =x++x³ – 6x2. Determine the value of x where f has a relative maximum value. x=0 O x=…

A: f'(x)=0 implies x= 0, -3, 2. Again f(0) = constant  f(-3)= 25.65+ constant f(2)= -5.6+ constant

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Q: Suppose f'(x) =x++x3– 6x². Determine the value of x where f has a relative maximum value.

A:

Q: Suppose f'(x) =x++x³- 6x². Determine the value of x where f has a relative minimum value. x= - 3 O…

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Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

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Q: Suppose f'(x) =x++x³– 6x2. Determine the value of x where f has a relative minimum value x=2 x=0 X=…

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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

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Q: Consider the function f(x) = 5 – 4x² , – 4 < x < 2. - The absolute maximum value is and this occurs…

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Q: Suppose f'(x) =x++x³– 6x². Determine the value of x where f has a relative maximum value. (A x= -3 B…

A: The solution are next step

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

A:

Q: If a and b are positive numbers, find the maximum valueof  f(x)  = x a (1  - x)b, 0 ≤ x  ≤  1

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Q: Suppose f(x) =x4+x³ – 6x2. Determine the value of x where f has a relative maximum value. x=2 O x=0…

A:

Q: If f'(x) = x³ – 2x² – x + 2, then f has a relative minimum at x

A: f'(x)=x3-2x2-x+2, we have to find relative minimum of f.