CalculusChallengeThe Derivative ShareThe Derivative · Challenge problemFind constants a,ba,ba,b so thatf(x)={ax2+b,x<1,1x,x≥1,f(x)=\begin{cases} ax^{2}+b, & x<1,\\[2pt] \dfrac{1}{x}, & x\ge 1,\end{cases}f(x)=⎩⎨⎧ax2+b,x1,x<1,x≥1,is differentiable at x=1x=1x=1. Show answer Walk through it step by step Practice more like this Review this concept