Q18 of 30 Page 5

If , show that


Given:


To prove:



Taking log both sides:



{∵ log xa = alog x}


⇒ log y = a cos-1 x log e


⇒ log y = a cos-1 x


Differentiating both sides with respect to x:






Differentiating both sides with respect to x:














Hence Proved


More from this chapter

All 30 →
16

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

is a continuous function.

 17

If y = xx, prove that

19

Differentiate with respect to , where .

 20

Find k, if is continuous at x = 0.