Question

find the intervals in which the function is decreasing or increasing​

Answer 1

Answer:

f'(x)=

$3 {x}^{2} - 18x + 24 \geqslant 0 \\ {x}^{2} - 6x + 8 \geqslant 0 \\ {x}^{2} - 2x - 4x + 8 \geqslant 0 \\ x(x - 2) - 4(x - 2) \geqslant 0 \\ (x - 2)(x - 4) \geqslant 0$

it is decreasing in range (2,4)

increasing in range (-infinite,2) U (4,infinite)

Step-by-step explanation:

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