Rewrite the `1/x` term as a fraction.

`y= x^-1 -3sin(x)`

Take the derivative of the first term using the power rule.

`y'=-x^-2 -3cos(x)`

Simplify and eliminate the negative exponent.

The answer is:

`y'=-1/x^2-3cos(x)`

Rewrite the `1/x` term as a fraction.

`y= x^-1 -3sin(x)`

Take the derivative of the first term using the power rule.

`y'=-x^-2 -3cos(x)`

Simplify and eliminate the negative exponent.

The answer is:

`y'=-1/x^2-3cos(x)`