MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
Let
g(x)=e2x−4ex+3,
where x∈R.
(a) Find g′(x) and hence obtain the critical points of g.
(b) Analyse the sign of g′(x) on the real line and classify each critical point as a point of local maximum or local minimum.
(c) Determine the corresponding maximum or minimum value of g at each such point.