find the nth differentiation of these

[transgalactic]

1=<k=<n

find [math] f^{(n)} (x) [/math] of:

 

the first :

[math]

f(x) = |x|^{n + 1}

[/math]

the second is:

[math]

f(x) = |\sin x|^{n + 1}

[/math]

[transgalactic]

for the second question:

[math]

(|\sin x|^{n}||\sin x|)^{(n)}=\sum_{k=0}^{n}C^k_n (|\sin x|^{n})^{(n-k)}|sinx|^{(k)}\\

[/math]

 

what to do next??