Question

1)y=3sin(2x+П/4)
2)y=2√x/3x+1
Найти производную.

Answer 1

Найти производную.
1)y=3sin(2x+П/4);    y'= 6Cos(2x + π/4)
2)y=2√x/3x+1  ;      y' = ( (2√x)' *(3x+1) - 2√x* (3x+1)' ) /(3x+1)²=
=(1/2√x *(3x+1) - 2√x*3 ) /(3x+1)²= 
=(3x +1 -12x)/(2√x(3x +1)²) = (1 -9x)/(2√x(3x +1)²)