What is the d/(dy)((x)(sin(5x))) ?

The d/(dy)((x)(sin(5x))) is sin(5y)+5ycos(5y)

What is the first d/(dy)((x)(sin(5x))) ?

The first d/(dy)((x)(sin(5x))) is sin(5y)+5ycos(5y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d y} ((y) (sin (5 y)))

sin (5 y) + 5 y cos (5 y)

Solution steps

\frac{d}{d y} ((y) (sin (5 y)))

Apply the Product Rule:

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

f = y, g = sin (5 y)

= \frac{d y}{d y} sin (5 y) + \frac{d}{d y} (sin (5 y)) y

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

\frac{d}{d y} (sin (5 y)) = cos (5 y) \cdot 5

= 1 \cdot sin (5 y) + cos (5 y) \cdot 5 y

Simplify

= sin (5 y) + 5 y cos (5 y)

5 q + \frac{3 q}{4}

- 2 x + 8 x

(x + 1) 2 - 2 (x + 1)

2 x^{5} - 16 x^{3} + x^{2} + 24 x - 2

e^{x + y} + x^{2} e^{x^{3} + y}

What is the d/(dy)((x)(sin(5x))) ?
The d/(dy)((x)(sin(5x))) is sin(5y)+5ycos(5y)
What is the first d/(dy)((x)(sin(5x))) ?
The first d/(dy)((x)(sin(5x))) is sin(5y)+5ycos(5y)