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Business Calculus 1 Midterm
SAMPLE
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2. Intro to Derivatives / Differentiability / Problem 17
Problem 17

Determine whether the following piecewise function is differentiable at x=0x=0.
g(x)={4x+sinx,if x<02x2, if x0g\left(x\right)=\begin{cases}4x+\sin x,\text{if }x<0\\ 2x^2,\text{ if }x\ge0\end{cases}