Question 1000103
Use the logarithmic differentiation to differentiate the function

{{{y= (x+2)^2/(e^x*sqrt(x^2+16))}}}

y' = {{{(2*(x+2)*e^x*sqrt(x^2+16)-(x+2)^2*(e^x*sqrt(x^2+16)+ e^x/sqrt(x^2+16)*x))/(e^x*sqrt(x^2+16))^2}}}
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y' = {{{(2*(x+2)*e^x*sqrt(x^2+16)-(x+2)^2*(e^x*sqrt(x^2+16)+ e^x/sqrt(x^2+16)*x))/(e^(2x)*(x^2+16))}}}
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y' = {{{(2*(x+2)*sqrt(x^2+16)-(x+2)^2*(sqrt(x^2+16)+ x/sqrt(x^2+16)))/(e^x*(x^2+16))}}}