Question

найти производные функций 1)y=x^6. 2)y=-6x. 3)y=2x+5. 4)y=5x^3+2x-9 5) y=5xsinx 6)y=5cos(2x-3)

Answer 1

1) y'=6×x^(6-1)=6x^5;
2) y'=-6;
3) y'=2;
4) y'=5×3×x^2+2=15x^2+2;
5) y'=5×(sinx+x×cosx))
=5sinx+5xcosx;
6) y'=5×(-sin(2x-3))×2=-10sin(2x-3)

Answer 2

$1)y= x^{6} \ y'=6 x^{5}$
$2)y=-6x \ y'=-6$
$3)y=2x+5 \ y'=2$
$4)y=5 x^{3} +2x-9 \ y'=15 x^{2} +2$
$5)y=5xsinx \ y'=5sinx+5xcosx$
$6)y=5cos(2x-3) \ y'=-10sin(2x-3)$