Find f'(x) for the given function f(x) = {(x⁴ + 4) ⁷}/{x⁴ + 2}
A) {7(x⁴ + 4) ⁶ ⋅ 4x³}/{(x⁴ + 2) ²}
B) {7(x⁴ + 4) ⁵ ⋅ 4x³}/{(x⁴ + 2) ²}
C) {7(x⁴ + 4) ⁶ ⋅ 4x³ - (x⁴ + 4) ⁷ ⋅ 4x³}/{(x⁴ + 2) ²}
D) {(x⁴ + 4) ⁷ ⋅ 4x³ - 7(x⁴ + 4) ⁶ ⋅ 4x³}/{(x⁴ + 2) ²}