Q 6. If the function f(x) = 2x - 9ax + 12a*x+1 has a local maximum at x x1 and a local minimum at x= x, such that x, x, then a is equal to (a) 0 (b) 1/4 (c) 2 (d) either (a) or (b)

Q: 4. Which of the following functions has a maximum value? a. f(x) = x- 3x + 4 b. f(x) = 2x + 5x + 3…

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Q: 12. For the function f(x) = x² + 10x + 7, x ER, find any global maxima or minima points

A: If y=f(x), then the independent variable x is called the input of the function and the dependent…

Q: what is the maximum/minimum of: f(x)=5x3e-x on [-1,6]

A: Differentiate the given function with respect to x and find the critical points,

Q: 8. Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: The absolute maximum value of a function is the greatest possible value of the function in the…

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

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Q: . Consider the following function.  f(x)=x^5ln(x) 3a)Use calculus to find the minimum value.

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Q: b- Determine the critical point of the function f(x) = x5 – 5x* + 5x³ –- 1 %3D

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Q: and the max

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Q: Determine whether each of the following statements is True (a) For a quadratic function f(x) - b x^2…

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Q: Consider the function f(x) = x + ax + 16x2 + bx + 15, where a and b are unspecified constants.…

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Q: Find the local extrema for the function f(x) = -7x + x2. A. The local minimum is f ) 49 = - and…

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Q: ,x2

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Q: Find where f(x) = 1-ax x(x-a)(x+b) is discontinuous.

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Q: attained by the func x 2) in the interva

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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 absolute maximum and absolute minimum of the function x³ 7x² 3 2 f(x) = = + 10x - 2 over…

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Q: Let f(x) = 3x4 - 4x3- 12x2 + 5. The local maximum of f(x) is

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Q: If f(x) has a maximum at x=a, then f1(x)-3 has a =maximum at x اخترأحد الخيارات a. (a+3) b. 1/(a+3)…

A: Option e . Correct