Q.The function $f(x) = \begin{cases} x + 5 & x < 0 \ x^2 + 5 & x \ge 0 \end{cases}$ is continuous at $x=0$ and differentiable at $x=0$ if

true

false

only continuous

only differentiable

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.The function f(x)={x+5x<0 x2+5x≥0f(x) = \begin{cases} x + 5 & x < 0 \ x^2 + 5 & x \ge 0 \end{cases}f(x)={x+5​x<0 x2+5​x≥0​ is continuous at x=0x=0x=0 and differentiable at x=0x=0x=0 if