Question

Derivada de h(x) x² + 1/ x​

Answer 1

Respuesta:

h(x) = (x²+1)/x

h ' (x) = d/dx [(x²+1)/(x )]

h ' (x) = ((d/dx [(x²+1)]×x)-(d/dx[(x)](x²+1)))/(x)²

h ' (x) = ((d/dx[(x²)]+d/dx[(1)](x))-((1)(x²+1)))/x²

h ' (x) = ((2x+0)x-((1)(x²+1))/x²

h ' (x) = ((2x)x-x²-1)/x²

h ' (x) = (2x²-x²-1)/x²

h ' (x) = ((2-1)x²-1)/x²

h ' (x) = ( x²-1 )/x²

R// La derivada de la función " h(x) = ( x²+1 )/x " es " h ' (x) = ( x²-1 )/x² " .