Como você encontra a derivada de y = e ^ (1 / x) ?
y'=-e^(1/x)/(x^2)
Explanation :
Using Chain Rule,
Suppose, y=e^f(x)
then, y'=e^f(x)*f'(x)
Similarly following for the y=e^(1/x)
y'=e^(1/x)*(1/x)'
y'=e^(1/x)*(-1/x^2)
y'=-e^(1/x)/(x^2)
y'=-e^(1/x)/(x^2)
Explanation :
Using Chain Rule,
Suppose, y=e^f(x)
then, y'=e^f(x)*f'(x)
Similarly following for the y=e^(1/x)
y'=e^(1/x)*(1/x)'
y'=e^(1/x)*(-1/x^2)
y'=-e^(1/x)/(x^2)