Consider the piecewise-defined function g(x)= cases x^ 2 , & x 1, 2x-1, & x>1

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the piecewise-defined function

g(x)=\begin{cases} x^{2}, & x\le 1,\\ 2x-1, & x>1. \end{cases}

Determine whether

g

has a local maximum, a local minimum, or neither at

x=1