Mathematics

Mathematics

Problem

The function gg is defined by g(x)={x2+2x,x≤−1,ln⁡(x+2),x>−1.g(x)=\begin{cases} x^{2}+2x, & x\le -1,\\ \ln(x+2), & x>-1. \end{cases} Determine whether gg has a local maximum, a local minimum, or neither at x=−1x=-1, and state your conclusion.

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