Решение:
1. f'(x)=9x^2+4 f'(3)=9*3^2+4=81+4=85
2.
1) -3/x^2+1/sqrt(x)-e^x
2) 12(3x-5)^3
3) 6cos2xcosx-3sin2xsinx=6cos2xcosx-6sin^2xcosx=6cosx(cos2x-sin^2x)=6cosx(1-3sin^2x)
4)(3x^2(x^2+5)-x^3*2x)/(x^2+5)^2=(3x^4+15x^2-2x^4)/(x^2+5)^2=
=(x^4+15x^2)/(x^2+5)^2
5)^2=
=(x^4+15x^2)/(x^2+5)^2
3. y'=-3sin3x y'(pi/6)=-3sin(pi/2)=-3 k=-3
4.y'=4x^3-6x^2
y'(1/2)=4/8-6/4=1/2-3/2=-1
tgx=-1
x=180-45=135
угол 135 градусов