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Let \(f(x)\) be a continuous function on \([a, b]\) and differentiable on \((a, b)\). Then, this function \(f(x)\) is st…

Q1

Let \(f(x)\) be a continuous function on \([a, b]\) and differentiable on \((a, b)\). Then, this function \(f(x)\) is strictly increasing in \((a, b)\) if

a

\(\mathrm{f}^{\prime}(\mathrm{x})<0, \forall \mathrm{x} \in(\mathrm{a}, \mathrm{b})\)

b

\(\mathrm{f}^{\prime}(\mathrm{x})>0, \forall \mathrm{x} \in(\mathrm{a}, \mathrm{b})\)

c

\(\mathrm{f}^{\prime}(\mathrm{x})=0, \forall \mathrm{x} \in(\mathrm{a}, \mathrm{b})\)

d

\(\mathrm{f}(\mathrm{x})>0, \forall \mathrm{x} \in(\mathrm{a}, \mathrm{b})\)

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