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

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

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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}

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