Question

Найдите производную функции:
1) y=-6/x+x в 7 степени 2) y=sinx+2√x 3) (5x-8)(3x+5)

Answer 1

1) y=-6/x+x^7
y' = -6/1+6x^6 = -1+x^6
2) y = sinx+2√x
y' = cosx+2×1/2√x = cosx+1/√x
3) (5x-8)(3x+5)
по формуле:
(U×V)'= U'V+UV'
получаем:
(5x-8)(3x+5)= 5×(3х+5)+(5х-8)×3 = 15х+25+15х-24 = 30х+1