Question

Найти дифференциал ф-ии.

Answer 1

1) ((5x+1)^(-1))'=-1*(5x+1)^(-2)*5=-5*(5x+1)^(-2)
2) (x^2*sqrt(x-1))'=2x*sqrt(x-1)+x^2*(1/2sqrt(x-1))
3) (ln(1/(1-5x)))'=1/(1-5x)*(-5)=-5/(1-5x)
4) (4*e^(5x-1))'=4*e^(5x-1)*5=20*e^(5x-1)
8) (sin(2x-1)*e^(ax))'=2cos(2x-1)*e^(ax)+sin(2x-1)*e^(ax)*a
9) (1/3cos^3(2x))'=-1/3*3*cos^2(2x)*sin(2x)*2=-2*sin(2x)*cos^2(2x)