What is the first d/(dy)(ysin(x)) ?

The first d/(dy)(ysin(x)) is sin(x)

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d/(dy)(ysin(x))

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

sin (x)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{d y}{d y} = 1

= sin (x) \cdot 1

Simplify

= sin (x)

(x^{5} - x^{3} + 3)^{4}

\frac{d}{d x} (\frac{x - 3}{x - 3})

100 + 0.4 x^{2}

\int \frac{6}{7} csc^{2} (\frac{x}{7}) d x

f (x) = 8 + x tan (x)