farhatmariah farhatmariah
  • 25-11-2021
  • Mathematics
contestada

Answer and explain every step of your solution.

Answer and explain every step of your solution class=
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evgeniylevi
evgeniylevi evgeniylevi
  • 25-11-2021

Answer:

min: (-2;-6) & (1; 3/4); max: (0;2).

Step-by-step explanation:

1) f`(x)=3x³+3x²-6x;

2) f`(x)=0, ⇒ 3x³+3x²-6x=0;

3) 3x³+3x²-6x=0; ⇒ x(x²+x-2)=0; ⇒ x(x-1)(x+2)=0; ⇒ x₁=0; x₂=1; x₃=-2;

other steps are provided in the attachment.

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