Question

Найдите производную функций. 35 баллов. Срочноооо

Answer 1

-12(2-3х)^3, - 4х^(-3)- cos(х), cos(х) +3sin(x), - 4sin(4x-p/3)

Answer 2

$1)\; \; y=(2-3x)^4\\\\y'=4(2-3x)^3\cdot (-3)=-12\cdot (2-3x)^3\\\\2)\; \; y= \frac{2}{x^2}-sinx=2x^{-2}-sinx\\\\y'= 2\cdot (-2)\cdot x^{-3}-cosx=-\frac{4}{x^3}-cosx\\\\3)\; \; y=sinx-3cosx\\\\y'=cosx+3sinx\\\\4)\; \; y=cos(4x-\frac{\pi}{3})\\\\y'=-sin(4x-\frac{\pi }{3})\cdot 4=-4\cdot sin(4x- \frac{\pi }{3})$