Single Variable Calculus

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Moderate

The Derivative of a Piecewise Defined Function

SVCALC-1WSSRO

Find the derivative of

$$f(x) = \begin{cases} x^2+1 & \text{if }x<1\\\ x+1 & \text{if }x\ge1\end{cases}$$

at $x=1$.

A

$1$

B

$\dfrac{3}{2}$

C

$2$

D

Undefined.