Pochodne Zuza: Oblicz pochodna : 1)sin(x⁴)*[sin(x)]⁴ 2)[e^cos(x)]

Adamm: 1) (sin(x⁴)(sin(x))⁴)' = (sin(x⁴))'(sin(x))⁴+((sin(x))⁴)'sin(x⁴) = = cos(x⁴)sin⁴(x)(x⁴)'+4sin³(x)sin(x⁴)(sin(x))'= =4cos(x⁴)sin⁴(x)x³+4sin³(x)sin(x⁴)cos(x)

KKrzysiek: e^cosx = e^cosx*−sinx