A) an even function
B) an odd function
C) cant say
D) cant be determined
Correct Answer: B
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.
You will be redirected in
3 sec