What is the first d/(dy)(-ln(y)) ?

The first d/(dy)(-ln(y)) is -1/y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

d/(dy)(-ln(y))

\frac{d}{d y} (- ln (y))

- \frac{1}{y}

Solution steps

\frac{d}{d y} (- ln (y))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{d}{d y} (ln (y))

Apply the common derivative:

\frac{d}{d y} (ln (y)) = \frac{1}{y}

= - \frac{1}{y}