Question

найдите производную функции 1/5 х^5 -3х^4+7/3 х^3 -2х^2 +1

Answer 1

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

Answer 2

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

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