Let g(x)={2x+tan−1x+a,−∞<x≤0x3+x2+bx,0<x<∞.If g(x) is differ – InterviewSolution

1.	Let g(x)={2x+tan−1x+a,−∞<x≤0x3+x2+bx,0<x<∞.If g(x) is differentiable for all x∈(−∞,∞), then (a2+b2) is equal to
Answer» Let $g (x) = {\begin{matrix} 2 x + {tan}^{- 1} x + a, & - \infty < x \leq 0 x^{3} + x^{2} + b x, & 0 < x < \infty \end{matrix} .$ If $g (x)$ is differentiable for all $x \in (- \infty, \infty),$ then $(a^{2} + b^{2})$ is equal to

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