Question

Помогите решить , очень срочно нужны ответы

Answer 1

$1)y' = - 20 {x}^{4} - 8 {x}^{2} + 7 \\ y'' = - 80 {x}^{3} - 16x \\ y''' = - 240 {x}^{2} - 16$

$2)y' = - 12 {x}^{ - 5} + 5 \cos(x) + {e}^{x} - \frac{2}{x} \\ y''= 60 {x}^{ - 6} - 5 \sin(x) + {e}^{x} + \frac{2}{ {x}^{2} } \\ y''' = - 360 {x}^{ - 7} - 5 \cos(x) + {e}^{x} - \frac{4}{ {x}^{3} } = \\ = - \frac{360}{ {x}^{7} } - 5 \cos(x) + {e}^{x} - \frac{4}{ {x}^{3} }$

$3)y' = 18 {x}^{5} - 12x + 17 \\ y'' = 90 {x}^{4} - 12 \\ y''' = 360 {x}^{3} \\ y'''( - 2) = 360 \times {( - 2)}^{3} = 360 \times ( - 8) = - 2880$

$4)y' = 36 {x}^{3} + 8 \sin(x) + 4 {e}^{x} \\y'(0) = 0 + 4 = 4 \\ y'' = 108 {x}^{2} + 8 \cos(x) + 4 {e}^{x} \\y''(0) = + 8 + 4 = 12 \\ y''' = 216x - 8 \sin(x) \\ y'''(0) = 0$