Write the condition for the function \(f(x)\), to be strictly increasing, for all \(x \in R\).
Q.2 (iv) Write the condition for the function \(f(x)\), to be strictly increasing, for all \(x \in R\).
Q.2 (iv) Write the condition for the function \(f(x)\), to be strictly increasing, for all \(x \in R\).
Best answer
Answer: \(f'(x) \gt 0\) for all \(x \in R\).
If \(f\) is differentiable and its derivative is positive at every point of \(R\), then \(f\) is strictly increasing on \(R\).
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