Q11 of 45 Page 1

Differentiate the following function w.r.t. x:

y = (sin x) x + sin-1√x.

formula: -


(i)


(ii)



(iv)


(v)


given: -


y = (sin x)x +sin-1√x.


v = sin-1√x.






let u = (sin x) x


taking log both sides


log u = log (sin x) x


⇒ log u = x log sin x


Diff. w.r.t x










Adding both v and u



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