Question

f(x)= e la x supra x

Sa se calculeze f derivat de x

Answer 1

$f(x) = \frac{ {e}^{x} }{x}$

$f'(x) = \frac{( {e}^{x} )' \times x - {e}^{x} \times x'}{ {x}^{2} }$

$f'(x) = \frac{ {e}^{x} \times x - {e}^{x} \times 1 }{ {x}^{2} }$

$f'(x) = \frac{ {e}^{x}(x - 1) }{ {x}^{2} }$