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Let f(x) be a non-constant, thrice differentiable function defined on R such that f(x)=f(6−x) and f′(0)=0=f′(2)=f′(5). If n is the minimum number of roots of (f′(x))2+f′(x)⋅f′′′(x)=0 in the interval [0,6], then the value of n2 is |
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Answer» Let f(x) be a non-constant, thrice differentiable function defined on R such that f(x)=f(6−x) and f′(0)=0=f′(2)=f′(5). If n is the minimum number of roots of (f′(x))2+f′(x)⋅f′′′(x)=0 in the interval [0,6], then the value of n2 is |
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