Question

Qua a derivada da função e^x/x^2+1

Answer 1

Resposta:

y= e^x/(x²+1)

y' = [(e^(x)' * (x²+1) -e^(x) * (x²+1)' ] /(x²+1)²

y'= [e^(x)*(x²+1) -e^(x)*2x]/(x²+1)²

y'=[e^(x)*(x²+1) -2x*e^(x)]/(x²+1)²

y'=e^(x) * (x²-2x+1) /(x²+1)²

y'=e^(x) * (x-1)² /(x²+1)²