For the function s(x)= cases x^ 2 +px+q, & x<1

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

Problem

For the function s(x)={x2+px+q,x<1,rx+t,x≥1s(x)= \begin{cases} x^{2}+px+q, & x<1,\\ rx+t, & x\ge 1 \end{cases} state the two equations relating p,q,r,p,q,r, and tt that must be satisfied so that ss is differentiable at x=1x=1.

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