Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. Enter EMPTY or for the empty set.) g(x) = x - x³ increasing decreasing

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A: Please see the below picture for detailed solution.

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Q: 6. y =√1+√8x-1 y 1$)+ (x-1) ¹4 y'= 1 + 7. y = [(x-1)(2x³ +1)]¹0 8. y = (4x²-1)³ (5x³ + 2)*

A: 5

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Q: 5. Find the points on the graph of f(x) = x³ - 3x where the tangent line has slope 0.

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Q: Consider the function f(x) = 12x³ +30x¹ - 160x³ +4. f(x) has inflection points at (reading from left…

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Q: let y = 3 x² + In x - ex find y' O 6x + (1/x) + ex O 6x - (1/x) - ex O 6x +1 + ex O none of the…

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Q: ASAP

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A: Application of Derivative

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