pochodne gosc: x⁴ sinx

J: f'(x) = 4x³*sinx + x⁴cosx = x³(4sinx +xcosx)

Dziadek Mróz: y = x⁴sin(x) y = uv u = x⁴ v = sin(x) y' = [uv]' = u'v + uv' = *) u' = [x⁴]' = 4x³ v' = [sin(x)]' = cos(x) *) = 4x³sin(x) + x⁴cos(x) = x³(xcos(x) + 4sin(x))

gosc: dziękuję