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

The d/(dy)(sin(y)-ysin(x)) is cos(y)-sin(x)

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

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

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

cos (y) - sin (x)

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= cos (y) - sin (x)

- 4 (x - 4)^{3}

\int cos (3 x) sin^{3} (3 x) d x

\int 8 x + 2 d x

n = 1 \sum \infty n^{7} (1 + n^{8})^{2}

\frac{d}{d x} (\frac{tan ( x )}{1 + tan ( x )})

What is the d/(dy)(sin(y)-ysin(x)) ?
The d/(dy)(sin(y)-ysin(x)) is cos(y)-sin(x)
What is the first d/(dy)(sin(y)-ysin(x)) ?
The first d/(dy)(sin(y)-ysin(x)) is cos(y)-sin(x)