(1+2·cos(x))·ex-2·ex·sin(x)
Пошаговое объяснение:
((1+2·cos(x))·ex)' = (1+2·cos(x))'·ex+(1+2·cos(x))·(ex)' = (-2·sin(x))·ex+(1+2·cos(x))·ex
Здесь:
(1+2·cos(x))' = -2·sin(x)
(ex)' = ex
.
(1+2·cos(x))·ex-2·ex·sin(x)
Пошаговое объяснение:
((1+2·cos(x))·ex)' = (1+2·cos(x))'·ex+(1+2·cos(x))·(ex)' = (-2·sin(x))·ex+(1+2·cos(x))·ex
Здесь:
(1+2·cos(x))' = -2·sin(x)
(ex)' = ex
.
(1+2·cos(x))·ex-2·ex·sin(x)