Ableitung f(x) = sin(ln(x))

Question

f(x)=sin(ln(x)) ....................................................

Answer 1

f(x)=sin(ln(x))
Kettenregel
[ sin ( term ) ] ´ = cos ( term ) * term ´

term = ln(x)
term ´ = 1/x

f(x)=sin(ln(x))
f ´ (x) = cos ( ln(x) ) * 1/ x