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Class 12 Applications Of Derivatives · Assertion Reason1 Marksassertion_reason

Class 12 Maths · Applications Of Derivatives · Assertion Reason #26

Assertion: The maximum value of ln x/x on [2,∞) is 1/e. Reason: If a differentiable function has positive derivative throughout an interval, it is strictly increasing there.

✅ Step-by-Step Solution

Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
  1. The derivative (1−ln x)/x² changes from positive to negative at e>2, proving the maximum 1/e. R is true but alone does not establish this maximum.

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