### Exercise 2.5. Compute the Riemann-Liouville derivatives ( D_{0}^{n} f(x) ) for ( n>0 ) and the following functions ( f ) : (a) ( f(x)=sin omega x, omega>0 ), (b) ( f(x)=cos omega x, omega>0 ), (c) ( f(x)=(1+x)^{-1} ). Hint: Use the results obtained in Exercise 2.1.

Exercise 2.5. Compute the Riemann-Liouville derivatives ( D_{0}^{n} f(x) ) for ( n>0 ) and the following functions ( f ) : (a) ( f(x)=sin omega x, omega>0 ), (b) ( f(x)=cos omega x, omega>0 ), (c) ( f(x)=(1+x)^{-1} ). Hint: Use the results obtained in Exercise 2.1.