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

The d/(dy)(y(y-sin(x))) is 2y-sin(x)

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

The first d/(dy)(y(y-sin(x))) is 2y-sin(x)

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Popular >

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

2 y - sin (x)

Solution steps

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

Treat

x

as a constant

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = y, g = y - sin (x)

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

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

\frac{d}{d y} (y - sin (x)) = 1

= 1 \cdot (y - sin (x)) + 1 \cdot y

Simplify

1 \cdot (y - sin (x)) + 1 \cdot y : 2 y - sin (x)

= 2 y - sin (x)

x \to 10 lim (15)

36 y^{^{''}} + 12 y^{^{'}} + y = 0

\int_{- 2 π}^{2 π} x^{2} sin (x) d x

\int sec (x) cos (x) d x

y^{^{'''}} + 9 y^{^{'}} = 0

What is the d/(dy)(y(y-sin(x))) ?
The d/(dy)(y(y-sin(x))) is 2y-sin(x)
What is the first d/(dy)(y(y-sin(x))) ?
The first d/(dy)(y(y-sin(x))) is 2y-sin(x)