Application of DerivativeHard
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) ≥ 8
C.f(4) ≥ 12
D.none of these
Solution
f(2) = - 4
f′(x) ≥ 6 x ∈ [2, 4]
f′(x) =
∴ f′(x) ≥ 6
≥ 6
f(4) + 4 ≥ 12
f(4) ≥ 8
f′(x) ≥ 6 x ∈ [2, 4]
f′(x) =
∴ f′(x) ≥ 6
≥ 6f(4) + 4 ≥ 12
f(4) ≥ 8
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