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ку11
@ку11
July 2022
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Найдите производную функцию
y = √x (x^2+1)
y = (x^10 - 1)( x^3+3)
y=x^-4/3
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mikael2
Verified answer
Y=√x(x²+1) y'=u'v+v'u=1/2√x*(x²+1)+√x*2x
y=(x¹⁰-1)(x³+3)=10x⁹(x³+3)+(x¹⁰-1)(3x²)
y=x^-4/3 y'=-4/3*x^-7/3
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Answers & Comments
Verified answer
Y=√x(x²+1) y'=u'v+v'u=1/2√x*(x²+1)+√x*2xy=(x¹⁰-1)(x³+3)=10x⁹(x³+3)+(x¹⁰-1)(3x²)
y=x^-4/3 y'=-4/3*x^-7/3