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MissKrash
@MissKrash
September 2021
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Помогите пожалуйста 77(4),78(2)и 79(2) поподробнее
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m11m
77 (4)
5sin ((2x+3)/4) - 4√(1/(x-1)) = 5sin(1/4(2x+3)) - 4(x-1)^(-1/2)
y ' = 5 * (1/4)*2cos((2x+3)/4) - 4*(-1/2)*(x-1)^(-3/2)=
= 2.5 cos((2x+3)/4) +
2
(x-1)√(x-1)
78 (2)
2^(x²+3x)
y ' = 2^(x²+3x) * ln2 * (2x+3) = (2x+3)*2^(x²+3x)*ln2
79 (2)
e^(x/2) sin³ 3x
y ' = 1/2 e^(x/2) * sin³ 3x + e^(x/2) * 9sin² 3x * cos3x
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Answers & Comments
5sin ((2x+3)/4) - 4√(1/(x-1)) = 5sin(1/4(2x+3)) - 4(x-1)^(-1/2)
y ' = 5 * (1/4)*2cos((2x+3)/4) - 4*(-1/2)*(x-1)^(-3/2)=
= 2.5 cos((2x+3)/4) + 2
(x-1)√(x-1)
78 (2)
2^(x²+3x)
y ' = 2^(x²+3x) * ln2 * (2x+3) = (2x+3)*2^(x²+3x)*ln2
79 (2)
e^(x/2) sin³ 3x
y ' = 1/2 e^(x/2) * sin³ 3x + e^(x/2) * 9sin² 3x * cos3x