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Find the derivative of ...by division rule if y=x/(x²+1)^1/2....​

Answer»

y=(X+1)(x+2) 2 DXDY =(x+1) dxd (x+2) 2 +(x+2) 2 dxd (x+1) [APPLY product Rule of differentiable][ dxd f(x)⋅g(x)= dxd f(x).q(x)+ dxd g(x)]=(x+1)⋅2(x+2)+(x+2) 2 ⋅1=(x+2)[2(x+1)+x+2]=(x+2)[2x+2+x+2]=(x+2)[3x+4]=(x+2)(3x+4).



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