### Home > CALC > Chapter Ch4 > Lesson 4.1.3 > Problem 4-31

4-31.

Simplify the fraction:

= 1 + *x* ^{−1}

Differentiate:

Be careful about + and − signs.

Before you differentiate, rewrite with exponents.

Before you differentiate, expand.

4-31.

Simplify the fraction:

= 1 + *x* ^{−1}

Differentiate:

Be careful about + and − signs.

Before you differentiate, rewrite with exponents.

Before you differentiate, expand.