Application of DerivativeHard
Question
The function f(x) = x(x + 3)e-x/2 satisfies all the conditions of Rolle′s theorem on [-3, 0]. The value of c which verifies Rolle′s theorem, is
Options
A.0
B.-1
C.-2
D.3
Solution
f′(x) = 0 ⇒ x = - 2, 3
x = - 2 ∈ (-3, 0) ∴ c = - 2
x = - 2 ∈ (-3, 0) ∴ c = - 2
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