Question

Derivar por definicion
y=$y=((x-x^2)/(x+x^2)$

Answer 1

Explicación paso a paso:

$y = \frac{((1 - 2x)(x + x {}^{2}) - (x - x {}^{2})(1 + 2x) }{(x + x {}^{2}) {}^{2} } \\ y = \frac{x + x {}^{2} - 2x {}^{2} - 2x {}^{3} - x - 2x {}^{2} + x {}^{2} + 2x {}^{3} }{(x + x {}^{2}) { }^{2} } \\ y = \frac{ - 2x {}^{2} }{(x + x {}^{2} ) {}^{2} }$