MonotonicityHard
Question
Let f be a function which is continuous and differentiable for all real x. If f(2) = - 4 and f′(x) ≥ 6 for all x ∈ [2, 4] then
Options
A.f(4) < 8
B.f(4) ≥
C.f(4) ≥ 12
D.none of these
Solution
Using LMVT in [2, 4]
f′(c) =
f′(c) ≥ 6 ⇒
⇒ f(4) ≥ 8
f′(c) =
f′(c) ≥ 6 ⇒
⇒ f(4) ≥ 8Create a free account to view solution
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