Referat Ableitungsregeln

ABLEITUNGSREGELN

FAKTORREGEL

f (x)=cou(x)                                       f(x)= 4o(x5 - 3x2 + 1)

f'(x)=cou (x)                                      f'(x)= o 5x4 - 6x) Konstante Faktoren bleiben erhalten.

SUMMENREGEL

f(x) = u(x) + v(x)                              f(x) = 4x2 + x f'(x) = u (x) + v'(x)                                                          f'(x) = 8x + 1

Summen kann man summandenweise ableiten.

3. PRODUKTREGEL

f(x) = u(x) o v(x)                               f(x) = x + 3) o (x2 - 4)

f'(x) = u(x) o v'(x) + u (x) o v(x) f'(x) = (x + 3) o 2x + (x2 - 4)

4. QUOTIENTENREGEL

f(x) =

f'(x) =

5. KETTENREGEL

f(x) = g(h(x))                                     f(x) = (x2 + x + 1)4

f'(x) = h (x) o g' o h(x)                       f'(x) = (2x + 1) o 4 o (x2 + x +