### Home > CALC > Chapter 10 > Lesson 10.1.4 > Problem 10-34

10-34.

Factor the denominator then simplify.

Since this is a limit at –∞, look at the dominant terms.

Use l'Hôpital's Rule.

This is the definition of derivative for –ln(*x*).

10-34.

Factor the denominator then simplify.

Since this is a limit at –∞, look at the dominant terms.

Use l'Hôpital's Rule.

This is the definition of derivative for –ln(*x*).