a) y = x⁸
y' = (x⁸)' = 8x⁷
б) y = 7
y' = 7' = 0
в) y = 5x + 2
y' = 5(x)' + 2' = 5 * 1 + 0 = 5
г)
д) y = 3Cosx
y' = 3(Cosx)' = 3 * (- Sinx) = - 3Sinx
е)
ж)
з)
A) = 8y-2x-5y+x-y=3y-x
б) =-7a-5a+3a-2=-9a-2
0,2 ^ ( 5X - Y ) = 125
5 ^ ( - ( 5X - Y)) = 5 ^ 3
- 5X + Y = 3
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11 ^ ( 2Y - X ) = 1/121
11 ^ ( 2Y - X ) = 11 ^ ( - 2 )
2Y - X = - 2
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- 5X + Y = 3
2Y - X = - 2
Y = 5X + 3
2 * ( 5X + 3 ) - X = - 2
10X + 6 - X = - 2
9X = - 8
X = - 8/9
Y = 5 * ( - 8/9) + 3 = ( - 40/9 ) + 3 = ( - 4 4/9 ) + 3 = ( - 1 4/9 )
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X + Y = - 8/9 + ( - 1 4/9 ) = - 1 12/9 = - 2 3/9 = - 2 1/3
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Ответ ( - 2 1/3 )