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Algebra Level 5

Given that ff is a real valued differentiable function such that f(x)f(x)<0\large{f(x)f^{\prime}(x)<0}  real x\forall~real~x. Then it follows that

Details

abs(f(x))=f(x)abs(f(x))=|f(x)|

f(x)=ddxf(x)f^{\prime}(x)=\frac{d }{dx}f(x)

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