Bài 4. Vi phân
Hướng dẫn giải Bài 1 (Trang 171 SGK Toán Đại số & Giải tích 11)
<p>Tìm vi phân của các hàm số sau</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mo> </mo><mi>y</mi><mo>=</mo><mfrac><msqrt><mi>x</mi></msqrt><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></mfrac><mfenced><mrow><mi>a</mi><mo>,</mo><mi>b</mi><mo> </mo><mi>l</mi><mi>à</mi><mo> </mo><mi>c</mi><mi>á</mi><mi>c</mi><mo> </mo><mi>h</mi><mi>ằ</mi><mi>n</mi><mi>g</mi><mo> </mo><mi>s</mi><mi>ố</mi></mrow></mfenced><mspace linebreak="newline"/><mi>b</mi><mo>,</mo><mi>y</mi><mo>=</mo><mo>(</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>1</mn><mo>)</mo><mo> </mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><msqrt><mi>x</mi></msqrt></mrow></mfenced><mspace linebreak="newline"/><mi>G</mi><mi>i</mi><mi>ả</mi><mi>i</mi><mo> </mo><mspace linebreak="newline"/><mi>a</mi><mo>,</mo><mo> </mo><mi>y</mi><mo>'</mo><mo>=</mo><mfrac><mn>1</mn><mrow><mn>2</mn><mfenced><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></mfenced><msqrt><mi>x</mi></msqrt></mrow></mfrac><mo>⇒</mo><mi>d</mi><mi>y</mi><mo>=</mo><mfrac><mn>1</mn><mrow><mn>2</mn><mfenced><mrow><mi>a</mi><mo>+</mo><mi>b</mi></mrow></mfenced><msqrt><mi>x</mi></msqrt></mrow></mfrac><mi>d</mi><mi>x</mi><mspace linebreak="newline"/><mi>b</mi><mo>,</mo><mi>y</mi><mo>'</mo><mo>=</mo><mfenced><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><msqrt><mi>x</mi></msqrt></mrow></mfenced><mo>+</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mfenced><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mfrac><mn>1</mn><mrow><mn>2</mn><msqrt><mi>x</mi></msqrt></mrow></mfrac></mrow></mfenced><mspace linebreak="newline"/><mo>⇒</mo><mi>d</mi><mi>y</mi><mo>=</mo><mi>y</mi><mo>'</mo><mi>d</mi><mi>x</mi><mo>=</mo><mfenced open="[" close="]"><mrow><mfenced><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>4</mn></mrow></mfenced><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><msqrt><mi>x</mi></msqrt></mrow></mfenced><mo>+</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mfenced><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mfrac><mn>1</mn><mrow><mn>2</mn><msqrt><mi>x</mi></msqrt></mrow></mfrac></mrow></mfenced></mrow></mfenced><mi>d</mi><mi>x</mi></math></p>
https://static.colearn.vn:8413/v1.0/upload/library/17032022/GiaiSGKToan/Toan11/DaiSo11/Chuong5/Xoan4/b1.mp4
GV: 
GV colearn
GV colearn
Xem lời giải bài tập khác cùng bài
Video hướng dẫn giải bài tập
https://static.colearn.vn:8413/v1.0/upload/library/17032022/GiaiSGKToan/Toan11/DaiSo11/Chuong5/Xoan4/b1.mp4
GV: GV colearn
GV colearn