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

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

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d/(dy)(-sin(y))

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

- cos (y)

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= - cos (y)

\frac{d}{d x} (3 (7^{x}))

\int sec^{2} (3 x) tan^{2} (3 x) d x

\frac{( e ^{x} ( 2 x + 3 ) )}{x ^{2} + 1}

\frac{d}{d x} ((\frac{1}{1 - x})^{2})

\frac{8}{x}