You will upload your work for this problem to Gradescope. Le…

You will upload your work for this problem to Gradescope. Let \(f(x) = bxe^{x}\) where \(b\) and \(c\) are each non-zero constants. (a) Determine \(f'(x)\). (b) Suppose at \(x =1\), the line \(3x-y = c\) is tangent to the graph of \(f(x)\).  Determine the exact value(s) of the constants \(b\) and \(c\). I have completed this question, scanned my work for it, and uploaded it to Gradescope.