Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.f'(x) = (x + 3)2 e-x
A. Never increasing; decreasing on (-?, -3) ? (-3, ?)
B. Decreasing on (-?, -3); increasing on (-3, ?)
C. Never decreasing; increasing on (-?, -3) ? (-3, ?)
D. Never decreasing; increasing on (-?, 3) ? (3, ?)
Answer: C
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Evaluate or simplify the exponential expression.-30
A. 1 B. -1 C. -3 D. 0
Find the relative extrema of the function on [0, 2? ]. List your answers in terms of ordered pairs. Then sketch a graph of the function.
f (x) = cos2 x + 2sin x
Simplify the given expression using the definition for negative exponents. Assume that all variables represent nonzero numbers.
A.
B.
C. 311
D. 113
Approximate with a scientific calculator. If necessary, round to four decimal places.antiloge (-0.6182)
A. 0.2409 B. -0.2089 C. -0.4809 D. 0.5389