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Let f be a twice differentiable function defined in [−3,3] such that f(0)=−4,f′(3)=0, f′(−3)=12 and f′′(x)≥−2 ∀ x∈[−3,3]. If g(x)=x∫0f(t)dt, then the maximum value of g(x) is |
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Answer» Let f be a twice differentiable function defined in [−3,3] such that f(0)=−4,f′(3)=0, f′(−3)=12 and f′′(x)≥−2 ∀ x∈[−3,3]. If g(x)=x∫0f(t)dt, then the maximum value of g(x) is |
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