найдите производную функции 1/5 х^5 -3х^4+7/3 х^3 -2х^2 +1. Created by sea123. matematika-ru

3 х^3 -2х^2 +1...

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$y = \frac{1}{5} x^5-3x^4+ \frac{7}{3} x^3-2x^2+1\\
\\
y'=x^4-12x^3+7x^2-4x\\
\\
(x^n)'=n*x^{n-1}$

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ПрофиЗнания $y= \frac{1}{5} x^{5} -3 x^{4} + \frac{7}{3} x^{3} -2 x^{2} +1
$

$y ' = \frac{1}{5} * 5 x^{4} -3*4 x^{3} + \frac{7}{3} *3 x^{2} -2*2x+0= x^{4}-12 x^{3} +7 x^{2} -4x$

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