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Let f:(-oo,oo)to(-oo,oo) be defined by ...

Let `f:(-oo,oo)to(-oo,oo)` be defined by `f(x)=x^(3)+1`
Statement - I : The function f has a local exremum at x=0
Statement 2 : The function f is continuous and differentiable on `(-oo,oo)andf(0)=0`

A

Statement - I is True , Statement - 2 is True , Statement -2 is a correct explanation for Statement - I

B

Statement - I is True , Statement -2 is True , Statement -2 NOT a correct explanation for Statement -1.

C

Statement - I is True , Statement -2 is False

D

Statement - 1 is False , Statement -2 is True

Text Solution

Verified by Experts

The correct Answer is:
D
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