Die Ableitung der Nachfragefunktion, für die Formel zur Punktelastizität:
dpd[1000e−2(p−1)2]
=1000⋅dpd[e−2(p−1)2]
=1000e−2(p−1)2⋅dpd[−2(p−1)2]
=1000e−2(p−1)2⋅(−2⋅dpd[(p−1)2])
=−2000e−2(p−1)2⋅2(p−1)⋅dpd[p−1]
=−4000e−2(p−1)2⋅(p−1)(dpd[p]+dpd[−1])
=−4000e−2(p−1)2⋅(p−1)(1+0)
=−4000(p−1)e−2(p−1)2