Let f(x)= cases x^ 2 , & x 1 2x-1, & x>1

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let f(x)={x2,x≤12x−1,x>1.f(x)=\begin{cases}x^{2}, & x\le 1\\2x-1, & x>1.\end{cases} Is ff differentiable at x=1x=1? Evaluate any necessary limit(s) and state your conclusion.

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