[tex]y = 2 {x}^{2} + x \\ y' = 2 \times 2x {}^{2 - 1} + x {}^{1 - 1} = 4x + 1[/tex]
[tex]f(x) = {x}^{8} - 3 {x}^{4} - x + 5 \\ f'(x) = 8x {}^{8 - 1} - 3 \times 4x {}^{4 - 1} - x {}^{1 - 1} = \\ 8 {x}^{7} - 12 {x}^{3} - 1[/tex]
[tex]y =2 + \cos( \alpha ) \\ y' = - \sin( \alpha ) [/tex]
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1) Г
[tex]y = 2 {x}^{2} + x \\ y' = 2 \times 2x {}^{2 - 1} + x {}^{1 - 1} = 4x + 1[/tex]
2) В
[tex]f(x) = {x}^{8} - 3 {x}^{4} - x + 5 \\ f'(x) = 8x {}^{8 - 1} - 3 \times 4x {}^{4 - 1} - x {}^{1 - 1} = \\ 8 {x}^{7} - 12 {x}^{3} - 1[/tex]
3) В
[tex]y =2 + \cos( \alpha ) \\ y' = - \sin( \alpha ) [/tex]