Differentiate the function (sinx)^x + sin^-1root x with respect to x.

OR


If x^my^n = (x+y)^m+n prove that d^2y/dx^2 = 0


Given:


Taking log on both the sides, we get,



Differentiating both sides, we get,





OR


Given: xm yn = (x + y)m+n


Taking log on both the sides, we get,




Taking derivatives w.r.t x on both sides;







Hence, Proved.


15
1