Question

Помогите решить!Алгебра,производные. 1)f(x)=(-x^2/5)+2x^2/3-x^2+x+(5/x^2) 2)f(x)=ax^4+bx^3-(c/x^2)-d 3)v(r)=(4/3)πr^3-(2/3)πhr^2+k 4)u(a)=(3a-5)^2* (2a-1)*(2a+1)

Answer 1

1) f' = - 2x/5 +4x/3 -2x +1 -10/x^3 = -16x/15 -10/x³ +1
2) f' = 4ax³ +3bx² -2c/x³
3)  v' (r) = 4 *pi*r² - 4/3 *pi*h*r
4) u(a) = (3a-5)² *(4a² -1)=
            =(9a² - 30a +25)(4a²-1) = 36a^4 -120a³ +100a² -9a²+30a-25
            =36a^4 -120a³ +91a²+30a-25
               u'(a) =144a³ -360a² +182a +30
   u'(a) =2*3(3a-5)*(4a²-1) +8a*(3a-5)² =
=(18a-30)(4a²-1) +8a(9a² -30a +25)=
=72a³ -18a -120a² +30 +72a³ -240a² +200a = 144a³ -360a² +182a +30