Bonsoir,
On a (uov)' = v' . u'(v) d'où (u⁴)' = 4 u' . u³
(u/v)' = u'/v - u.v'/v² = (u'v -uv')/v²
v'(x) = 4 (x/(x² - 1))' (x/(x₂ - 1))³
v'(x) = 4 ((x² - 1 - 2x²)/(x² - 1)²) (x/(x₂ - 1))³
v'(x) = -4x³ (x² + 1) / (x² - 1)⁵
u(x) = cos(x) . sin(3x-1)
u'(x) = cos'(x) . sin(3x-1) + cos(x) . sin'(3x-1)
u'(x) = -sin(x) . sin(3x-1) + 3 cos(x) . cos(3x-1)
