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Video Có bao nhiêu giá trị nguyên dương của tham số m để hàm số y = x 2 2 m + 1 x 3 Chi tiết

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Update: 2022-02-06 12:09:05,You Cần tương hỗ về Có bao nhiêu giá trị nguyên dương của tham số m để hàm số y = x 2 2 m + 1 x 3. You trọn vẹn có thể lại Báo lỗi ở cuối bài để Tác giả được tương hỗ.


Có bao nhiêu giá trị nguyên của tham số m để hàm số y=x3−3m+2×2+3m2+4mx+1 nghịch biến trên khoảng chừng 0; 1 ?

A.1.

B.4.

C.3.

D.2.

Đáp án và lời giải

Đáp án:B

Lời giải:Lời giải
Chọn B
Ta có: y′=3×2−6m+2x+3m2+4m
Cho y′=0⇔3×2−6(m+2)x+3(mét vuông+4m)=0⇔x2−2(m+2)x+mét vuông+4m=0 (1)
Ta có: Δ’=(m+2)2−(mét vuông+4m)=4>0
Phương trình (1) có 2 nghiệm phân biệt x=mx=m+4
Bảng biến thiên:

Từ bảng biến thiên, ta suy ra để hàm số nghịch biến trên khoảng chừng (0; 1)
⇔(0; 1)⊂(m; m+4)⇔m≤0m+4≥1⇔m≤0m≥−3⇔−3≤m≤0
Mà m∈ℤ⇒m∈−3; −2; −1; 0 . Vậy có 4 giá trị m thỏa yêu cầu bài toán.

Vậy đáp án đúng là B.

Tóm lược đại ý quan trọng trong bài

  • Có bao nhiêu giá trị nguyên của tham số m để hàm số y=x3−3m+2×2+3m2+4mx+1 nghịch biến trên khoảng chừng 0; 1 ?
  • Bài tập trắc nghiệm 15 phút Tìm Đk của tham số để hàm số đơn điệu trên tập xác lập. – Toán Học 12 – Đề số 3
  • Có bao nhiêu giá trị nguyên dương của tham số m để hàm số y=x22–mx+ln(x-1)đồng biến trên khoảng chừng (1;+∞) ?

Câu hỏi thuộc đề thi sau. Bạn có mong ước thi thử?

Bài tập trắc nghiệm 15 phút Tìm Đk của tham số để hàm số đơn điệu trên tập xác lập. – Toán Học 12 – Đề số 3

Làm bài

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Có bao nhiêu giá trị nguyên dương của tham số m để hàm số y=x22–mx+ln(x-1)đồng biến trên khoảng chừng (1;+∞) ?

A. 4

B. 1

C. 3

Đáp án đúng chuẩn

D. 2

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