Q14 of 354 Page 12

Differentiate the following functions with respect to x :

(sin-1 x)x

Let y = (sin-1 x)x


Taking log both the sides:


⇒ log y = log (sin-1 x)x


⇒ log y = x log (sin-1 x) {log xa = alog x}


Differentiating with respect to x:











Put (sin-1 x)x:



More from this chapter

All 354 →
12

Differentiate the following functions with respect to x :

10(10x)

 13

Differentiate the following functions with respect to x :

sin (xx)

 15

Differentiate the following functions with respect to x :

 16

Differentiate the following functions with respect to x :

(tan x)1/x