A) 0
B) \[-1\]
C) 1
D) None of these
Correct Answer: C
Solution :
Since,\[f(x)\]is an even function \[\therefore \] \[f(-x)=f(x),\forall \,x\in R\] On differentiating both sides w.r.t.\[x,\]we get \[-f-(x)=f(x)\,\,\forall \,x\in R\] \[\Rightarrow \] \[f-(x)=-f(x)\,\,\forall \,x\in R\] Which shows that\[f(x)\]is an odd function.You need to login to perform this action.
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