Consider the function f ( x ) = x c sin ( a x ) {\displaystyle f(x)=x^{c}\sin(ax)} where a {\displaystyle a} and c {\displaystyle c} are constants. Find f ′ ( x ) {\displaystyle f'(x)} .
Your answer may depend on the parameters a {\displaystyle a} and c {\displaystyle c} ; you do not need to simplify.
