Lösungen/Solutions/E1S1AnUe/Ex9

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

Ueb/Ex 1      W

f1[x_] := x^3

D[f1[x], x]

Ueb/Ex 2      W

f2[x_] := x^2

D[f2[x], x] /.  x -> 1

tanα = D[f2[x], x] /.  x -> 1

ArcTan[tanα] // N

Ueb/Ex 3      L

f3[x_] := k1 x^2 + k2

D[f3[x], x]

tanα = D[f3[x], x] /.  x -> 1

Solve[tanα == 3, {k1}]

Ueb/Ex 4      W

f4[x_] := Sin[x]

D[f4[x], x]

Limit[f4[x]/x,  x -> 0]

ArcTan[1]