sThe function \[f(x)=\left\{ \begin{matrix} {{e}^{2x}}-1 & , & x\le 0 \\ ax+\frac{b{{x}^{2}}}{2}-1 & , & x>0 \\ \end{matrix} \right.\] is continuous and differentiable for [AMU 2002]

sThe function \[f(x)=\left\{ \begin{matrix} {{e}^{2x}}-1 & , & x\

1.	sThe function \[f(x)=\left\{ \begin{matrix} {{e}^{2x}}-1 & , & x\le 0 \\ ax+\frac{b{{x}^{2}}}{2}-1 & , & x>0 \\ \end{matrix} \right.\] is continuous and differentiable for [AMU 2002]
A.	\[[.]\]
B.	\[a=2,\,b=4\]
C.	\[a=2,\,\]any \[b\]
D.	Any \[a,\,\,\,b=4\]
Answer» D. Any \[a,\,\,\,b=4\]

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sThe function \[f(x)=\left\{ \begin{matrix} {{e}^{2x}}-1 & , & x\le 0 \\ ax+\frac{b{{x}^{2}}}{2}-1 & , & x>0 \\ \end{matrix} \right.\] is continuous and differentiable for [AMU 2002]

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