Considere a função f left parenthesis x right parenthesis equals fraction numerator x to the power of 4 minus 1 over denominator x to the power of 4 plus 1 end fraction. Com respeito a derivada da função (), é correto afirmar que: a. f to the power of apostrophe left parenthesis x right parenthesis equals fraction numerator 8 x to the power of 7 over denominator open parentheses x to the power of 4 plus 1 close parentheses squared end fraction b. f to the power of apostrophe left parenthesis x right parenthesis equals fraction numerator 4 x cubed over denominator open parentheses x to the power of 4 plus 1 close parentheses squared end fraction c. f to the power of apostrophe left parenthesis x right parenthesis equals fraction numerator 8 x cubed over denominator x to the power of 4 plus 1 end fraction d. f to the power of apostrophe left parenthesis x right parenthesis equals fraction numerator 8 x cubed over denominator open parentheses x to the power of 4 plus 1 close parentheses squared end fraction e. ′ () = 1