Consider the function

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider the function g(t)=et(t2−4t)g(t)=e^{t}(t^{2}-4t). At which of the following tt-values does gg attain a relative maximum? (a) t=1+5t=1+\sqrt{5} (b) Both t=1−5t=1-\sqrt{5} and t=1+5t=1+\sqrt{5} (c) t=1−5t=1-\sqrt{5} (d) t=0t=0

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