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tanechkapopova
@tanechkapopova
August 2022
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Задание I. Вычислить производную функций, используя правила
дифференцирования.
1.f(x)=6sinx+5x^2-14x+1
2.f(x)=(3x^4-x)(2x-корень x)
3.f(x)=x+5/3x+1
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nKrynka
Решение
1.f(x)=6sinx+5x^2-14x+1
f`(x) = 6cosx + 10x - 14
2.f(x)=(3x^4-x)(2x-корень x)
f`(x) = (12x³ - 1)*(2x - √x) +(2 - 1/(2√x))*(3x⁴ - x)
3.f(x)=x+5/3x+1
f`(x) = 1 - 5/(3x²)
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Answers & Comments
1.f(x)=6sinx+5x^2-14x+1
f`(x) = 6cosx + 10x - 14
2.f(x)=(3x^4-x)(2x-корень x)
f`(x) = (12x³ - 1)*(2x - √x) +(2 - 1/(2√x))*(3x⁴ - x)
3.f(x)=x+5/3x+1
f`(x) = 1 - 5/(3x²)