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Suppose the function f(x) satisfies the ...

Suppose the function `f(x)` satisfies the relation `f(x+y^3)=f(x)+f(y^3)dotAAx ,y in R` and is differentiable for all `xdot` Statement 1: If `f^(prime)(2)=a ,t h e nf^(prime)(-2)=a` Statement 2: `f(x)` is an odd function.

A

Both statement I and Statement II are correct and Statement II is the correct explanation of Statement I

B

Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I

C

Statement I is correct but Statement II is incorrect

D

Statement II is correct but Statement I is incorrect.

Text Solution

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The correct Answer is:
A
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