16) f(x)=(9x+5)⁸
f(x)' =8(9x+5)⁷ * 9=72*(9x+5)⁷
17) f(x)=√(2x¹⁶+x³+6)
f(x)' = <u> 1 </u> * (32x¹⁵+3x²) = <u> 32x¹⁵+3x² </u>
2√(2x¹⁶+x³+6) 2√(2x¹⁶+x³+6)
18) f(x)= <u> 1 </u>
sinx
f(x)' = - <u> 1 </u>* (sinx)' = -<u> cosx</u>
sin²x sin²x
19) f(x)=cos6x
f(x)'=-6sinx
21) f(x)=(x¹¹-2x+3)⁶+8x²
f(x)' =6(x¹¹-2x+3)⁵ * (11x¹⁰-2)+16x=(66x¹⁰-12)(x¹¹-2x+3)⁵+8x²
6x+16x²-(16x²-9)=1.5x
6x+16x²-16x²+9=1.5x
6x-1.5x=-9
4.5x=-9
x=-9/4.5=-2
Ответ: -2
G=-10
a8=-15+(-10)*7=-85
Sn=(a1+an)*n/2=(-15+(-85))*8/2=-400
6х^2-х-35 = 0
D=1-4*6*(-35)=1+840=841
x1=(1+29)/12=30/12=5/2=2 целых 1/2
х2=(1-29)/12=-28/12=-7/3=-2 целых 1/3