Ответ:
Объяснение:
A5.
f(x) = (1/3) x³ - x²+ 2√x- 3x + 5
f '(x) = ((1/3) x³ - x²+ 2√x- 3x + 5)'=((1/3) x³)' -(x²)'+(2√x)'-(3x)'+5'=
=(1/3)·3x² -2x+2·0,5/√x-3=x² -2x+1/√x-3
A6.
Решите неравенство: (2/3)x + 3 < (81/16)4-x
(2/3)x + x < (81/16)4-3
(5/3)x<17,25
x<10,35
x∈(-∞; 10,35)
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Ответ:
Объяснение:
A5.
f(x) = (1/3) x³ - x²+ 2√x- 3x + 5
f '(x) = ((1/3) x³ - x²+ 2√x- 3x + 5)'=((1/3) x³)' -(x²)'+(2√x)'-(3x)'+5'=
=(1/3)·3x² -2x+2·0,5/√x-3=x² -2x+1/√x-3
A6.
Решите неравенство: (2/3)x + 3 < (81/16)4-x
(2/3)x + x < (81/16)4-3
(5/3)x<17,25
x<10,35
x∈(-∞; 10,35)