Question
Download Solution PDFFind the interval in which the function f(x) = x2 - 2x is strictly increasing ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If f′(x) > 0 at each point in an interval, then the function is said to be strictly increasing.
Calculations:
Given , f(x) = x2 - 2x
Differentiating, we get
f'(x) = 2x - 2
f(x) is strictly increasing function
∴ f'(x) > 0
⇒ 2x - 2 > 0
⇒ x > 1
∴ x ∈ (1, ∞)
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