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Given the function 9(2) = 4:3 35:2 + 50:, nd the rst derivative, 91:). \"=1 = :1 Notioe that 514:} = II] when :I: = 5, that is, 915] = D. How, we want to know whether there is a local minimum or local maximum at z = 5, so we will use the second derivative test. Find the second derivative, 9' '(z). 9"I=>=:l Evaluate g' ' [5). \"5%: Based on the sign of this number, does this mean the graph of g[:) is concave no or concave down at :I: = 5? At: = athegraphofgtxhs Based on the concavity of 9(2} at z = 5, does this mean that there is a local minimum or local maximum at z = 5? At 2 = 5 there isa local