Автор - ring0231

Найдите производную функции:

а) у = х4+2х6 – 2х+1 ; б) у = х · cosx; в) у = 3х−10х+1 ; г) 2sin(3x – 1).

Ответ

Автор - sergeevaolga5

(x^4+2x^6-2x+1)`=4x^3+12x^5-2\\(x*cosx)`=x`*cosx+x*cos`x=cosx-xsinx\\(3x^2-10x+1)`=6x-10\\(2sin(3x-1))`=2cos(3x-1)*(3x-1)`=2cos(3x-1)*3=\=6cos(3x-1)

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