(Steps Shown) a) Showing all work, analytically determine the exact value(s) of b so that x=6 is a critical number of f(x)=√[3]4 x^2-b x+21 b) If you found
Question: a) Showing all work, analytically determine the exact value(s) of \(b\) so that \(x=6\) is a critical number of \(f(x)=\sqrt[3]{4 x^{2}-b x+21}\)
b) If you found one value of \(b\), enter it below. If you found more than one value of \(b\), enter the largest value that you found. Round the value you enter to 2 decimal places if appropriate.
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