What is the d/(dy)((x)(cos(x))) ?

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

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

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

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

cos (y) - y sin (y)

Solution steps

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

Apply the Product Rule:

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

f = y, g = cos (y)

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

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

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

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

Simplify

= cos (y) - y sin (y)

3 p - m p + 3 n - mn

21 x^{2} + ll x - 2

x^{(2)} + 6 x + 10

3 x + y + (- 3)

4 a + 4 b + x a + x b

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