For g(x)= cases A|x-3|+2,&x<3 (x-3)^ 2 +2,&x 3 cases determine the value of that…

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

Problem

For g(x)={A∣x−3∣+2,x<3(x−3)2+2,x≥3g(x)=\begin{cases}A|x-3|+2,&x<3\\(x-3)^{2}+2,&x\ge 3\end{cases} determine the value of AA that makes gg differentiable at x=3x=3.

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