Find the derivative of the function f ( x ) = ( x 2 + 1 ) 7 ( x 4 + 2 ) 5 ( x 6 + 3 ) 3 ( x 8 + 4 ) . {\displaystyle f(x)=(x^{2}+1)^{7}(x^{4}+2)^{5}(x^{6}+3)^{3}(x^{8}+4).} (There is no need to simplify your answer.)