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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

A

`(4sqrt(2))/(7^(3)3^(2))`

B

`-(4sqrt(2))/(7^(3)3^(2))`

C

`(4sqrt(2))/(7^(3)3)`

D

`-(4sqrt(2))/(7^(3)3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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