3.12-bo'lim: Yuqori tartibli hosilalar

1 – 5 masalalar uchun berilgan funksiyaning to‘rtinchi hosilasini aniqlang.

1. \(h\left( t \right) = 3{t^7} - 6{t^4} + 8{t^3} - 12t + 18\) Yechim
2. \(V\left( x \right) = {x^3} - {x^2} + x - 1\) Yechim
3. \(\displaystyle f\left( x \right) = 4\,\sqrt[5]{{{x^3}}} - \frac{1}{{8{x^2}}} - \sqrt x \) Yechim
4. \(\displaystyle f\left( w \right) = 7\sin \left( \frac{w}{3} \right) + \cos \left( {1 - 2w} \right)\) Yechim
5. \(y = {{\bf{e}}^{ - 5z}} + 8\ln \left( {2{z^4}} \right)\) Yechim

6 – 9 masalalar uchun berilgan funksiyaning ikkinchi hosilasini aniqlang.

1. \(g\left( x \right) = \sin \left( {2{x^3} - 9x} \right)\) Yechim
2. \(z = \ln \left( {7 - {x^3}} \right)\) Yechim
3. \(\displaystyle Q\left( v \right) = \frac{2}{{{{\left( {6 + 2v - {v^2}} \right)}^4}}}\) Yechim
4. \(H\left( t \right) = {\cos ^2}\left( {7t} \right)\) Yechim

10 va 11-masalalar uchun berilgan funksiyaning ikkinchi hosilasini aniqlang.

1. \(2{x^3} + {y^2} = 1 - 4y\) Yechim
2. \(6y - x{y^2} = 1\) Yechim