If f(x)={\\begin{array}{c}\\\{2 x e^{1 {/\end{array} 2 x}-3 x e^{-1{/} 2 x}}/{e^{1 \/ 2 x}+4 e^{-1{/} 2 x}} , \text{ if } x \neq 0 ; 0 , \text{ if } x=0}. is a real valued function then [AP EAPCET 18 May 2024 Shift 1]

Correct Answer is : f is not differentiable at x=0

Limits Continuity and Differentiability

Section: Mathematics

Question : 58 of 61

Marks: +1, -0

If f(x)={

‌

2xe1/2x−3xe−1/2x

e1∕2x+4e−1/2x

‌ if ‌x≠0

‌ if ‌x=0

. is a real valued function then

[AP EAPCET 18 May 2024 Shift 1]

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