Найдите производные следующих функций :
[tex]1)y=4x^{3/2};2)y=5x^{-3/5} ;3)y=2 \sqrt{x^3};4)y= \sqrt[4]{x^{-3} } ;5)y= \sqrt[3]{x^{-2} } [/tex]
[tex]1)y=4x^{3/2};2)y=5x^{-3/5} ;3)y=2 \sqrt{x^3};4)y= \sqrt[4]{x^{-3} } ;5)y= \sqrt[3]{x^{-2} } [/tex]
NNNLLL54
1) y` = 4*(3/2)x^(1/2) = 6√x
2) y` = 5*(- 3/5)x⁻⁸/⁵ = - 3x⁻⁸/⁵
3) 2*(3/2)√x = 3√x
4) (- 3/4)*x⁻⁷/⁴
5) (- 2/3)x⁵/³
Verified answer
Решение1) y` = 4*(3/2)x^(1/2) = 6√x
2) y` = 5*(- 3/5)x⁻⁸/⁵ = - 3x⁻⁸/⁵
3) 2*(3/2)√x = 3√x
4) (- 3/4)*x⁻⁷/⁴
5) (- 2/3)x⁵/³
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