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Let f be a twice differentiable function defined on R such that f(0)=1, f′(0)=2 and f′(x)≠0 for all x∈R. If ∣∣∣f(x)f′(x)f′(x)f′′(x)∣∣∣=0, for all x∈R, then the value of f(1) lies in the interval |
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Answer» Let f be a twice differentiable function defined on R such that f(0)=1, f′(0)=2 and f′(x)≠0 for all x∈R. If ∣∣∣f(x)f′(x)f′(x)f′′(x)∣∣∣=0, for all x∈R, then the value of f(1) lies in the interval |
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