If `y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx)`is`(n y)/(sqrt(x^2+a^2))`(b) `-(n y)/(sqrt(x^2+a^2))``(n x)/(sqrt(x^2+a^2))`(d) `-(n x)/(sqrt(x^2+a^2))`A. `(ny)/(sqrt(x^(2)+a^(2))`B. `-(ny)/(sqrt(x^(2)+a^(2))`C. `(nx)/(sqrt(x^(2)+a^(2))`D. `-(nx)/(sqrt(x^(2)+a^(2))`

If `y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx)`is`(n y)/(sqrt(x^2+a^2))`(

1.	If `y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx)`is`(n y)/(sqrt(x^2+a^2))`(b) `-(n y)/(sqrt(x^2+a^2))``(n x)/(sqrt(x^2+a^2))`(d) `-(n x)/(sqrt(x^2+a^2))`A. `(ny)/(sqrt(x^(2)+a^(2))`B. `-(ny)/(sqrt(x^(2)+a^(2))`C. `(nx)/(sqrt(x^(2)+a^(2))`D. `-(nx)/(sqrt(x^(2)+a^(2))`
Answer» `(dy)/(dx)=(d)/(dx)[(x+sqrt(x^(2)+a^(2)))^(n)]` `=n(x+sqrt(x^(2)+a^(2)))^(n-1).(d)/(dx)(x+sqrt(x^(2)+a^(2)))` `n=(x+sqrt(x^(2)+a^(2)))^(n-1)((sqrt(x^(2)+a^(2))+x)/(sqrt(x^(2))+a^(2)))` `=(n(x+sqrt(x^(2)+a^(2)))^(n))/(sqrt(x^(2))+a^(2))` `=(ny)/(sqrt(x^(2))+a^(2))`

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