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

The first d/(dy)(-cos(y)) is sin(y)

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d/(dy)(-cos(y))

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

sin (y)

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

\frac{d}{d y} (cos (y)) = - sin (y)

= - (- sin (y))

Simplify

= sin (y)

\frac{d}{d x} (ln (h (x^{2})))

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