Đáp án:

Giải thích các bước giải:

Đáp án:

 `B. 15`

Giải thích các bước giải:

 `f'(x) = 0 => [(x = - 6),(x =3):}`

Đặt `u = x^{3} - 3x^{2} + m`

`u'= 3x^{2} - 6x = 0 => [(x = 2),(x = 0):}`

BBT:

$\color{#FA8072}{\text{___}}$ $\color{#F28D84}{\text{___}}$ $\color{#EFAE98}{\text{___}}$ $\color{#E7C2AB}{\text{___}}$ $\color{#DFD6BF}{\text{___}}$ $\color{#D7E9D3}{\text{___}}$ $\color{#CFFDD7}{\text{___}}$ $\color{#C7FBEA}{\text{___}}$ $\color{#BFF9FE}{\text{___}}$ $\color{#B7F8F7}{\text{___}}$ $\color{#AFF6EC}{\text{___}}$ $\color{#A7F5DF}{\text{___}}$ $\color{#9FF3D2}{\text{___}}$ $\color{#97F2C5}{\text{___}}$ $\color{#8FF1B9}{\text{___}}$ $\color{#87F0AC}{\text{___}}$ $\color{#7FEFA0}{\text{___}}$ $\color{#77ED93}{\text{___}}$

(Hình ảnh)

$\color{#FA8072}{\text{___}}$ $\color{#F28D84}{\text{___}}$ $\color{#EFAE98}{\text{___}}$ $\color{#E7C2AB}{\text{___}}$ $\color{#DFD6BF}{\text{___}}$ $\color{#D7E9D3}{\text{___}}$ $\color{#CFFDD7}{\text{___}}$ $\color{#C7FBEA}{\text{___}}$ $\color{#BFF9FE}{\text{___}}$ $\color{#B7F8F7}{\text{___}}$ $\color{#AFF6EC}{\text{___}}$ $\color{#A7F5DF}{\text{___}}$ $\color{#9FF3D2}{\text{___}}$ $\color{#97F2C5}{\text{___}}$ $\color{#8FF1B9}{\text{___}}$ $\color{#87F0AC}{\text{___}}$ $\color{#7FEFA0}{\text{___}}$ $\color{#77ED93}{\text{___}}$

Để hàm số có đúng `4` điểm cực trị

`=>` cần `2` nghiệm đơn `[(u = 3),(u = -6):}`

`=> [({(m \le 3),(m - 4 \ge -6):}),(m \le -6),(m - 4 \ge 3):}`

`<=> [(- 2 \le m \le 3),(m \le - 6),(m \ge 7):}`

Mà `{(m \in ZZ),(m \in [-10;10]):},` nên

$\color{#FA8072}{\text{___}}$ $\color{#F28D84}{\text{___}}$ $\color{#EFAE98}{\text{___}}$ $\color{#E7C2AB}{\text{___}}$ $\color{#DFD6BF}{\text{___}}$ $\color{#D7E9D3}{\text{___}}$ $\color{#CFFDD7}{\text{___}}$ $\color{#C7FBEA}{\text{___}}$ $\color{#BFF9FE}{\text{___}}$ $\color{#B7F8F7}{\text{___}}$ $\color{#AFF6EC}{\text{___}}$ $\color{#A7F5DF}{\text{___}}$ $\color{#9FF3D2}{\text{___}}$ $\color{#97F2C5}{\text{___}}$ $\color{#8FF1B9}{\text{___}}$ $\color{#87F0AC}{\text{___}}$ $\color{#7FEFA0}{\text{___}}$ $\color{#77ED93}{\text{___}}$

(Hình ảnh)

$\color{#FA8072}{\text{___}}$ $\color{#F28D84}{\text{___}}$ $\color{#EFAE98}{\text{___}}$ $\color{#E7C2AB}{\text{___}}$ $\color{#DFD6BF}{\text{___}}$ $\color{#D7E9D3}{\text{___}}$ $\color{#CFFDD7}{\text{___}}$ $\color{#C7FBEA}{\text{___}}$ $\color{#BFF9FE}{\text{___}}$ $\color{#B7F8F7}{\text{___}}$ $\color{#AFF6EC}{\text{___}}$ $\color{#A7F5DF}{\text{___}}$ $\color{#9FF3D2}{\text{___}}$ $\color{#97F2C5}{\text{___}}$ $\color{#8FF1B9}{\text{___}}$ $\color{#87F0AC}{\text{___}}$ $\color{#7FEFA0}{\text{___}}$ $\color{#77ED93}{\text{___}}$

`=> m \in {-10;...;-6;-2;...;3;7;...;10}`

Vậy có `15` giá trị nguyên của tham số `m` thỏa mãn

$\color{#FA8072}{\text{$\textit{$\circ$ hungnguyen4269}$}}$