Detailed solution to Problem Set 15 Exercise 11
- Question:
- Find the differential of
10√(n + 5).
- Solutions:
- d(10√(n + 5)) =
10 d(√(n + 5)) =
10(√(n + 5) d(n + 5)/(2(n + 5))) =
5√(n + 5) dn/(n + 5),
which you can write as
5 dn/√(n + 5)
or 5(n + 5)−½ dn
if you want.
- Or
d(10(n + 5)½) =
10 d((n + 5)½) =
10(½ (n + 5)½−1 d(n + 5)) =
5(n + 5)−½ dn,
which you can write as
5 dn/√(n + 5)
or
5√(n + 5) dn/(n + 5)
if you want.
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