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Write the condition for the function f(x) to be strictly increasing for all x ∈ R. - Mathematics and Statistics

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Question

Write the condition for the function f(x) to be strictly increasing for all x ∈ R.

Sum

Solution

For a function f(x) to be strictly increasing for all x ∈ R, the first derivative of the function must satisfy the following condition:

f'(x) > 0, ∀x ∈ R

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