Consider the function defined implicitly by the equation `y^3-3y+x=0` on various intervals in the real line. If `x in (-oo,-2) uu (2,oo)`, the equation implicitly defines a unique real-valued defferentiable function `y=f(x)`. If `x in (-2,2)`, the equation implicitly defines a unique real-valud diferentiable function `y-g(x)` satisfying `g_(0)=0`.
If `f(-10sqrt2)=2sqrt(2)`, then `f"(-10sqrt(2))` is equal to

Options

A. `4 sqrt2/7^ 3* 3^2 `
B. `4 sqrt2/7^3 * 3^3 `
C. `4 sqrt2/7^3 * 3 `
D. `-4 sqrt2/7^3 * 3 `