Question:
If f(x)=xˣ, then f(x) is increasing in interval
If f(x)=xˣ, then f(x) is increasing in interval
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Check derivative sign for monotonicity.
Updated On: Mar 20, 2026
- \([0,e]\)
- \([0,\tfrac1e]\)
- \([0,1]\)
- None of these
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The Correct Option is D
Solution and Explanation
f'(x)=xˣ(ln x+1)
f'(x)>0 when ln x+1>0⟹ x>\tfrac1e.
This interval is not listed.
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