There exists a function \[f(x)\]satisfying \[f(0)=1\], \[f'(0)=-1,\ f(x)>0\]for all x and [Kurukshetra CEE 1998]

There exists a function \[f(x)\]satisfying \[f(0)=1\], \[f'(0)=-1,\ f(

1.	There exists a function \[f(x)\]satisfying \[f(0)=1\], \[f'(0)=-1,\ f(x)>0\]for all x and [Kurukshetra CEE 1998]
A.	\[f(x)<0\],\[\forall x\]
B.	\[-1<f''(x)<0,\,\forall x\]
C.	\[-2<f''(x)\le -1,\,\forall x\]
D.	\[f''(x)<-2,\,\forall x\]
Answer» E.

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There exists a function \[f(x)\]satisfying \[f(0)=1\], \[f'(0)=-1,\ f(x)>0\]for all x and [Kurukshetra CEE 1998]

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