Let f(x) be maximum and g(x) be minimum of {x|×|, x² | × [} then

Q: find a so that f (x) = ax2 + 8x -8 has a minimum value of -24

A: According to the given information, it is required to find the value of a so, that the function f(x)…

Q: Let f (x) = x³ – 6x2 – 15x. What is the absolute minimum value of f on the interval [-5, 0]?

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Q: The function f(x) = xvx – x² defined on the closed domain [0, 0.9] has an absolute minimum value of…

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Q: Find the global maximum of f(x) = x(4−2x) over the interval (−∞,∞)

A: Given:The function is f(x) = x(4-2x) .The interval is (−∞, ∞).

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

A: Given function is Differentiating with respect to x To find critical numbers of p(x)  That is ,…

Q: Let f:R where R be defined f(x) =4x2-4x+11 .Find the global minimum value and a point of global…

A: Explanation of the solution is given below...

Q: If  f has a local minimum value at , show that the function g(x)  =-f(x)has a local maximum value at…

A: Let  g(x)=-f(x) g'(x)=-f'(x) If f(x) is increasing in interval (a,b) , then  That is if f(x) is…

Q: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

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Q: f(x) = x2 -x-7 is The relative maximum value of and its relative minimum value is

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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: Find any local maximums/minimums of f(x)=x²-8r³ +18r²

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Q: Prove that the function f(x)  =x101  + x51  +x  +1 hasneither a local maximum nor a local minimum.

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Q: The absolute minimum of f() = x² +3x – 1is

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Q: Find the absolute minimum maximum if they exist for f(x) = x+ 4/x

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Q: What is the global minimum of the function f (x) = x/2 (x – 4)?

A: Find the critical points and evaluate the given function at critical point.

Q: Let f(x) = x³ - 3x². Find the absolute minimum value of f(x) on the interval [1, 4].

A: The given function,  f(x)=x3-3x2 on the interval 1,4

Q: If x + 1 f(x) then find the global minimum of f on the interval [1, c∞)

A: Given: Function fx=x2+1x on the interval [1,∞) To find: Global minimum of given function. Concept:…

Q: Find the absolute maximum and absolute minimum of - x2. f(x) = + x² – 15x over the interval [1, 5].…

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Q: Find the global maximum and global minimum of f(x)=x√x in the interval [2,3].

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Q: Give an example that: the f'(c) 0 but c is not a local maximum or local minimum.

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Q: Let f(x)=x4 + 1/3 x3 - 7x2 Identify the x-coordinate of local extrema (or relative extrema) of f,…

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Q: If f(x) = x3 – 6x² + 9x + 15 then the minimum value of f(x) over the interval [0, 6] is

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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: Let f(x) be maximum and g(x) be minimum of {x|×|, x² |x} then

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Q: Find the global maximum and global minimum of f(x)=2x in the interval [−1,3].

A: Given function is Differentiating with respect to x, we get Now, f'(x) =0 for no value of x and…

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

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Q: Find the absolute maximum of p(x)=x2 −x+2 over [0,3].

A: We have to find absolute maximum of f(x) in given interval .F(x) is given as:

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

A: Given     fx=x3-3x

Q: Let f(x) = x² – a³. Find the global maximum and the global minimum value of this function on the…

A: Given data:   The expression for the function is f(x)=x2-x3. The given limit of the function is [a,…

Q: (a) Let f(x) = x³ +*+4. Find the absolute maximum and the absolute minimum of f on the closed…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

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

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Q: Find the absolute minimum value on (0,∞​) for f(x)=x − 1/x + 14/x^3.

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Q: Use calculus to find the x-locations of the local maximum and local minimum values of S(x) = (½)x°…

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Q: Determine a minimum of f(x) = x² + 3x², Starting from x, = (6,3) = 6i + 3j and applying the method…

A: The given function is fx=x12+3x22 . The initial point is x0=6, 3. Let it be X0=6, 3. The gradient of…

Q: Find the absolute meximum and absolul-e minimum of fcx) = X intereval [4,8] x- 48X Over the

A: From the given function; fx=x33+x2-48x First, we have to find the critical points; As we know that,…

Q: Find the global minimum of the function f(x)=2x^3+3x^2–12x+4 on the interval [-4,2].

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

A: using double derivative test

Q: what is the absolute maximum/minimum of: f(x)=xln(x/4) on [0.2,4]

A: Given, function is

Q: (b) Find the global maximum and minimum values and indicate where they occur. f(x1,x2) = 2x, + x, –…

A: Given,

Q: Find the absolute maximum and minimum values of f(x) = x – 2x on the closed interval [0, 2].

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Q: Determine the global maximum and minimum function a)f(x) = 3x2 – 12x in the intervals [0,3]

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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: What are the absolute maximums and minimums of z(x) over its domain?

A: Given To find what are the absolute maximums and minimums of z(x) over its domain.

Q: What is the local minimum value of the function f(x) = x^3(x + 4)

A: We have the given function as fx=x3x+4 For local maxima/minima, we need to calculate critical point…

Q: True False  Suppose f(x) satisfies f'(3) = 0 and f"(3)>0, then f(3) must be a local minimum.

A: We will use the second derivative test to answer this. It states that if, at a point x = c, the…

Q: Find the absolute maximum and absolute minimum of f(x) =2x – 3x² – 36x + 2 on the interval [0,5]

A: Before finding absolute maximum and absolute minimum of any function over the given interval we need…