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Differentiability
2. Intro to Derivatives / Differentiability / Problem 4
Problem 4

Calculate the value of bb that makes the function p(x)={bx, if x<0x22x, if x0p\(\left\)(x\(\right\))=\(\begin{cases}\)bx\(\text{, if }\)x<0\\ x^2-2x\(\text{, if }\)x\(\ge\)0\(\end{cases}\) differentiable everywhere.