Einige Differentiationsregeln sind
Definition der Ableitung | u = f(t) | u′ = = f′(t) = lim Δt→0 |
Partielle Ableitung | u = f(x,y,z,…,t) | = lim Δx→0 |
Andere Schreibweise | u = f(t) | = u = f(t) |
Konstanter Faktor | u = f(x),c = const | = c |
Summenregel | u = f(t),v = g(t) | = + |
Produktregel | u = f(t),v = g(t) | = u + v |
Bruch | u = f(t),v = g(t) | = |
Kettenregel | u = f(v),v = g(t) | = = |
logarithmische Ableitung | u = f(x) | = |