Đáp án: 1) $=4.cos2x-2sin2x$
2) $=8.cos4x+5sin5x$
3) $=25cos5x +3sin3x$
4) $=-8sin2x + 3cos3x$
Giải thích các bước giải:
1) $y'= (2sin2x + cos2x)'$
$=2.cos2x.(2x)'-sin2x.(2x)'$
$=4.cos2x-2sin2x$
.
2) $y'= (2sin4x - cos5x)'$
$=2.cos4x.(4x)'+sin5x.(5x)'$
$=8.cos4x+5sin5x$
.
3) $y'= (5sin5x - cos3x)'$
$=5cos5x.(5x)' +sin3x.(3x)'$
$=25cos5x +3sin3x$
.
4) $y'=(4cos2x + sin3x)'$
$=-4sin2x.(2x)' + cos3x.(3x)'$
$=-8sin2x + 3cos3x$