The function f(x)= cases x^ 2 +3x,&x 0 Ax+B,&x>0 cases is differentiable at

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

Problem

The function f(x)={x2+3x,x≤0Ax+B,x>0f(x)=\begin{cases}x^{2}+3x,&x\le 0\\ Ax+B,&x>0\end{cases} is differentiable at x=0x=0. Determine the values of AA and BB.

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