Q17 of 30 Page 5

If y = xx, prove that

Given: y = xx


To prove:


y = xx


Taking log both the sides:


⇒ log y = log xx


⇒ log y = x log x


{∵ log xa = alog x}


Differentiating with respect to x:









Again, differentiating both sides with respect to x:












Hence Proved


More from this chapter

All 30 →
15

If and find the values of at and

16

Find the values of a and b such that the function defined by

is a continuous function.

 18

If , show that

19

Differentiate with respect to , where .