Question

How can I solve it??

ans= 1/2 -1/2x^2​

Answer 1

see explanation

Explanation:

Differentiate using the power rule

`(d)/(dx)`(a
`x^(n)`) = na
`x^(n-1)`

Simplify the expression by dividing both terms on the numerator by 2x²

`(x^3+x)/(2x^2)`

=
`(x^3)/(2x^2)` +
`(x)/(2x^2)`

=
`(1)/(2)` x +
`(1)/(2)`
`x^(-1)`

Hence differentiating gives

`(1)/(2)` -
`(1)/(2)`
`x^(-2)`

=
`(1)/(2)` -
`(1)/(2x^2)`