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A: Obtain the derivative of the function as follows.
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Q: Identify the absolute minimum of g(x)=−2x2 −x+1 over [−2,4].
A: Absolute minimum:The absolute minimum of a function f on the interval [a, b] will occur either at…
Q: Find the absolute maximum value of g(x)=−2x^2+x−1 over [−3,5].
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Q: 9. Given f'(2) does not exist and f"(2) > 0, is x = 2 a maximum, minimum, or neither of f? Explain.
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A: Applying critical point and absolute value test
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Q: if the function f(x)= x^3+ax^2+bx has the local minimum value -2/9 cube root 9 at x= 1/cube root ,…
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A: To find the absolute maximum of the given function.
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Q: 4. Find the absolute minimum and absolute maximum values of on the interval 1,2
A: The function is given by,
Q: Find the absolute meximum and absolul-e minimum of fcx) = X intereval [4,8] x- 48X Over the
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Q: Let A be a positive real number. If the absolute minimum value of f(x)=Ax^5−25x^3 on [0,∞) occurs…
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Q: Show that the f(x)=x-(In x)^{x} =0, has at least one solution in the interval [4, 5].
A: There are more than one question. We will solve the first one. Given, f(x)=x-[ln(x)]x, we need to…
Q: Use a computer algebra system to find the maximum value of ∣f ″(x)∣ on the closed interval. f(x) =…
A: Maxima: f(x)=1x2+1, [12,3]f'(x)=-2x(x2+1)2f''(x)=-2(x2+1)2+2x.4x(x2+1)(x2+1)4…
Q: Suppose that x and y are two positive numbers, and suppose that x + 2y = 30. Find the maximum value…
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Q: f(x) = (x - 1)(x – 5)? +1 %3D
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Q: what is the absolute maximum/minimum of: f(x)=xln(x/4) on [0.2,4]
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Q: What is the local minimum value of the function f(x) = x^3(x + 4)
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Q: 3. Find the number in the interval ,2] such that the sum of the number and its reciprocal is (a) a…
A: Let number = x, It is given that, the function is = sum of number and its reciprocal
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