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

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let f(x)={x2,x≤1,kx2,x>1.f(x)=\begin{cases}x^{2}, & x\le 1,\\ kx^{2}, & x>1.\end{cases} Determine the value of kk that makes ff differentiable at x=1x=1.

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