You will upload your work for this problem to Gradescope. Le…
You will upload your work for this problem to Gradescope. Let \(f(x) = \begin{cases} x^3 \hspace{0.25in} \text{if} \hspace{0.25in} x \leq 2 \\ ax^2+b \hspace{0.25in} \text{if} \hspace{0.25in} x > 2 \end{cases} \)Determine the value(s) of the constants \(a\) and \(b\) so that the function \(f\) is differentiable at \(x = 2\).I have completed this question, scanned my work for it, and uploaded it to Gradescope.
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