Question

найдите производные функции y=sin(3x-4);  y=(x^2-2)/(x+3)+3e^x

Answer 1

$1)y=sin(3x-4) \ y'=3cos(3x-4) \ 2)y= frac{ x^{2} -2}{x+3} +3e^{x} \ y'= frac{( x^{2} -2)'(x+3)-(x+3)'( x^{2} -2)}{(x+3)^{2}} +3e^{x}= frac{2x(x+3)-( x^{2} -2)}{(x+3)^{2}} +3e^{x}= \ frac{ x^{2} +6x+2}{(x+3)^{2}} +3e^{x}$