X^100-y^100 = <span>(x - y)(x^99 +x^98y+...+xy^98+y^99)</span>
( X + 3 ) / 4 - ( y + 2 ) / 2 = 0
X + 3 - 2( y + 2 ) = 0
X + 3 - 2y - 4 = 0
X = 2y + 1
3x + y = 1
3( 2y + 1 ) + y = 1
6y + 3 + y = 1
7y = - 2
y = - 2/7
X = 2•( - 2/7 ) + 1 = - 4/7 + 7/7 = 3/7
Ответ ( 3/7 ; - 2/7 )
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
Система записана не корректно, проверь ещё раз