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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 x≥0g\(\left\)(x\(\right\))=\(\begin{cases}\)4x+\(\sin\) x,\(\text{if }\)x<0\\ 2x^2,\(\text{ if }\)x\(\ge\)0\(\end{cases}\)