Question
Download Solution PDFIf y = (xx)x, then what is the value of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used :
- log mn = n log m
- Differentiation by part:
Calculation :
Given that y = (xx)x,
Taking log on both sides
log y = log (xx)x
Using the formula (1)
⇒ log y = x log xx
⇒ log y = x2 log x
Diff. with respect to x
Doing diff. by part as discussed in formula (2)
⇒
Since,
⇒
⇒
Put x = 1 in above equation
⇒
⇒
∴
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