Question:
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. \(f^{\prime}(x)\lt;0\), \(\forall x\in(a,b)\)
- B. \(f^{\prime}(x)\gt;0\), \(\forall x\in(a,b)\)
- C. \(f^{\prime}(x)=0\), \(\forall x\in(a,b)\)
- D. \(f(x)\gt;0\), \(\forall x\in(a,b)\)