Lösungen/Solutions/I1S1Ue/Ex15

L=Lektion/Leçon-- Sprechstunde/heures de consultation
W=Work/Arbeit/Travail
A  =Anhang/  Annexe / Appendice

Ueb/Ex 1      W

f1[x_] := x^2 Cos[x];  D[f1[x], x]

Ueb/Ex 2      W

f2[x_] := Sin[x]^3;   D[f2[x], x]

Ueb/Ex 3      W

f3[x_] := 3 x  -  x/Cos[x] ;  D[f3[x], x]  // Simplify

Ueb/Ex 4      W

f4[x_] := x  Sqrt[x]; D[f4[x], x]

Ueb/Ex 5      W

f5[x_] := 1/x^2 +  (x^2)/(x^2 + 2); D[f5[x], x]

% // Simplify

Ueb/Ex 6      W

f6[x_] := Sin[2  x]; D[f6[x], x]

Ueb/Ex 7      W

f7[x_] := 1/x  Cos[x]/Sin[x]; D[f7[x], x]

% // Simplify

Ueb/Ex 8      W

f8[x_] := 1/(x^3 - 2  x + Cos[x]); D[f8[x], x]

% // Simplify

Ueb/Ex 8      W

f9[x_] := Cos[Sin[Cos[x^4]]]; D[f9[x], x]

% // Simplify