Define p(x)= cases x^ 3 +2x,& x 0

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

Problem

Define p(x)={x3+2x,x≤0,cx+d,x>0p(x)= \begin{cases} x^{3}+2x,& x\le 0,\\ cx+d,& x>0 \end{cases} Find the constants cc and dd such that pp is differentiable for all real numbers.

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