Function f(x) is defined as f(x) = x3 + 2x² - 20x + 10 in interval [-2, 1], what willI be it's minimum value

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A: Let's find.

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Q: Find the absolute minimum value for on the interval [-1,1]

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A: f(x)=-x2+7x differentiating both side f'(x)=-2x+7 now f'(x)=0 -2x+7=0 x=3.5 So x=1, 3.5, 7

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A: Check the function has absolute minimum value.

Q: Find the global minimum of the function f (x) = 2x’ + 3x² – 12x + 4 on the interval [-4,2].

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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: f(x) = }x* – }x³ – x² + 2x – 1 - -

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Q: local

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Q: f f is a differentiable function with derivaitve f' x^2+2x-3, then f has a realtive minimum

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A: Solution is given below:

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Q: Where are there local minimum(s)/maximum(s) f(x)=3(2x-1) -4(x+1)?

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Q: Find the minimum and maximum of x3+3x². on the interval [0, 3].

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A: Disclaimer: As we are currently not providing any hand-written solution, therefore, the solution to…