Question

tercera derivada de
$y = \frac{2}{3 {x}^{2} }$
​

Answer 1

Respuesta:

y=2/3x^2

d/dx [y]= d/dx[2/3x^

2]

y'=2/3*d/dx[1/x^2]

y'=2(-2)x^(-3)/3

y'= -4x^(-3)/3

y'= -4/3x^(3)

d/dx[y']= d/dx[-4/3x^(3)]

y'' = -4/3*d/dx[1/x^(3)] ; 1/x^(3) = x^(-3)

y'' = (-4(-3)x^(-4))/3

y'' = 4/(x^(4))

d/dx[y''] = d/dx[ 4/(x^(4)) ]

y''' = 4*d/dx[1/(x^(4)) ]

y''' = 4(-4)(x^(-5))

y''' = -16 /(x^(5))

Explicación paso a paso: