Hướng dẫn giải Bài 1 (Trang 174 SGK Toán Đại số & Giải tích 11)

Bài 5. Đạo hàm cấp hai

Hướng dẫn giải Bài 1 (Trang 174 SGK Toán Đại số & Giải tích 11)

<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>,</mo><mo> </mo><mi>C</mi><mi>h</mi><mi>o</mi><mo> </mo><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><msup><mfenced><mrow><mi>x</mi><mo>+</mo><mn>10</mn></mrow></mfenced><mn>6</mn></msup><mo>.</mo><mo> </mo><mi>T</mi><mi>í</mi><mi>n</mi><mi>h</mi><mo> </mo><mi>f</mi><mo>'</mo><mo>'</mo><mfenced><mn>2</mn></mfenced><mspace linebreak="newline"/><mi>b</mi><mo>,</mo><mo> </mo><mi>C</mi><mi>h</mi><mi>o</mi><mo> </mo><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>=</mo><mi>sin</mi><mn>3</mn><mi>x</mi><mo> </mo><mo>.</mo><mo> </mo><mi>T</mi><mi>í</mi><mi>n</mi><mi>h</mi><mo> </mo><mi>f</mi><mo>'</mo><mo>'</mo><mfenced><mrow><mo>-</mo><mfrac><mi mathvariant="normal">π</mi><mn>2</mn></mfrac></mrow></mfenced><mo>,</mo><mi>f</mi><mo>'</mo><mo>'</mo><mfenced><mn>0</mn></mfenced><mo>,</mo><mi>f</mi><mo>'</mo><mo>'</mo><mfenced><mfrac><mi mathvariant="normal">π</mi><mn>18</mn></mfrac></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>T</mi><mi>a</mi><mo> </mo><mi>c</mi><mi>ó</mi><mo> </mo><mi>f</mi><mo>'</mo><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>6</mn><msup><mfenced><mrow><mi>x</mi><mo>+</mo><mn>10</mn></mrow></mfenced><mn>5</mn></msup><mo>,</mo><mi>f</mi><mo>'</mo><mo>'</mo><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>30</mn><msup><mfenced><mrow><mi>x</mi><mo>+</mo><mn>10</mn></mrow></mfenced><mn>4</mn></msup><mspace linebreak="newline"/><mo>⇒</mo><mi>f</mi><mo>'</mo><mo>'</mo><mfenced><mn>2</mn></mfenced><mo>=</mo><mn>30</mn><msup><mfenced><mrow><mn>2</mn><mo>+</mo><mn>10</mn></mrow></mfenced><mn>4</mn></msup><mo>=</mo><mn>30</mn><mo>.</mo><msup><mn>12</mn><mn>4</mn></msup><mo>=</mo><mn>622080</mn><mspace linebreak="newline"/><mi>b</mi><mo>,</mo><mi>T</mi><mi>a</mi><mo> </mo><mi>c</mi><mi>ó</mi><mo> </mo><mi>f</mi><mo>'</mo><mfenced><mi>x</mi></mfenced><mo>=</mo><mn>3</mn><mo>.</mo><mi>cos</mi><mn>3</mn><mi>x</mi><mo> </mo><mo>⇒</mo><mi>f</mi><mo>'</mo><mo>'</mo><mfenced><mi>x</mi></mfenced><mo>=</mo><mo>-</mo><mn>9</mn><mi>sin</mi><mn>3</mn><mi>x</mi><mspace linebreak="newline"/><mi>f</mi><mo>'</mo><mo>'</mo><mfenced><mfrac><mrow><mo>-</mo><mi mathvariant="normal">π</mi></mrow><mn>2</mn></mfrac></mfenced><mo>=</mo><mn>9</mn><mi>sin</mi><mfenced><mfrac><mrow><mn>3</mn><mi mathvariant="normal">π</mi></mrow><mn>2</mn></mfrac></mfenced><mo>=</mo><mo>-</mo><mn>9</mn><mspace linebreak="newline"/><mi>f</mi><mo>'</mo><mo>'</mo><mfenced><mn>0</mn></mfenced><mo>=</mo><mn>0</mn><mo>;</mo><mo> </mo><mi>f</mi><mo>'</mo><mo>'</mo><mfenced><mfrac><mi mathvariant="normal">π</mi><mn>18</mn></mfrac></mfenced><mo>=</mo><mo>-</mo><mn>9</mn><mi>sin</mi><mfrac><mi mathvariant="normal">π</mi><mn>6</mn></mfrac><mo>=</mo><mo>-</mo><mfrac><mn>9</mn><mn>2</mn></mfrac></math></p>

Hướng dẫn Giải Bài 1 (trang 174, SGK Toán Đại số & Giải Tích 11)

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Hướng dẫn giải Bài 2 (Trang 174 SGK Toán Đại số & Giải tích 11)

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