Assinale a alternativa que contém o cálculo da varição de 2ª ordem f left square bracket x subscript k comma x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket da tabela de diferenças divididas.
a.
f left square bracket x subscript k comma x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket equals fraction numerator f left square bracket x subscript k comma x subscript k minus 1 end subscript right square bracket minus f left square bracket x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket over denominator x subscript k minus x subscript k minus 2 end subscript end fraction
b.
f left square bracket x subscript k comma x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket equals fraction numerator f left square bracket x subscript k comma x subscript k minus 1 end subscript right square bracket minus f left square bracket x subscript k comma x subscript k minus 2 end subscript right square bracket over denominator x subscript k minus 1 end subscript minus x subscript k minus 2 end subscript end fraction
c.
f left square bracket x subscript k comma x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket equals fraction numerator f left square bracket x subscript k comma x subscript k minus 1 end subscript right square bracket minus f left square bracket x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket over denominator x subscript k plus x subscript k minus 2 end subscript end fraction
d.
f left square bracket x subscript k comma x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket equals fraction numerator f left square bracket x subscript k comma x subscript k minus 2 end subscript right square bracket minus f left square bracket x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket over denominator x subscript k minus x subscript k minus 1 end subscript end fraction
e.
f left square bracket x subscript k comma x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket equals fraction numerator f left square bracket x subscript k comma x subscript k minus 1 end subscript right square bracket plus f left square bracket x subscript k minus 1 end subscript comma x subscript k minus 2 end subscript right square bracket over denominator x subscript k minus x subscript k minus 2 end subscript end fraction
