.|f f( x )= a | s i n x |+b e ^ | x | +c | x |^ 3 and if f (x) is differentiable at x =…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
\(\left.|f f(\mathbf{x})=\mathbf{a}| \mathbf{s i n} \mathbf{x}\left|+b \mathbf{e}^{|\mathbf{x}|}+c\right| \mathbf{x}\right|^{3}\) and if f (x) is differentiable at x = 0, then
- \(a=b=c=0\)
- \(a=0, b=0, c \in R\)
- \(\mathrm{b}=\mathrm{c}=0, \mathrm{a} \in \mathrm{R}\)
- \(c=0, a=0, b \in R\)
Answer
(B) a=0, b=0, c R
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