Question

f(x) = (x+1)/2x derivada ​

Answer 1

Respuesta:

$f(x) = x + \frac{1}{2}$

Explicación paso a paso:

${f}^{1} (x) = \frac{x + 1}{2} \times x \\ {f}^{1} ( {x} ) = \frac{(x(x + 1))}{2} \\ {f}^{1} ( {x} ) = \frac{ {x}^{2} + x }{2} \\ {f}^{1} ( {x} ) = \frac{1}{2} ( {x}^{2} + x) \\ {f}^{1} ( {x} ) = \frac{1}{2} (2x + 1) \\ {f}^{1} ( {x} ) =x + \frac{1}{2}$