What is the first d/(dy)((x)(2x+4y)) ?

The first d/(dy)((x)(2x+4y)) is 4x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

d/(dy)((x)(2x+4y))

\frac{d}{d y} ((x) (2 x + 4 y))

4 x

Solution steps

\frac{d}{d y} ((x) (2 x + 4 y))

Treat

x

as a constant

Take the constant out:

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

= x \frac{d}{d y} (2 x + 4 y)

Apply the Sum/Difference Rule:

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

= x (\frac{d}{d y} (2 x) + \frac{d}{d y} (4 y))

\frac{d}{d y} (2 x) = 0

\frac{d}{d y} (4 y) = 4

= x (0 + 4)

Simplify

= 4 x

(n p - p + 1)^{2}

- \frac{( x + h ) ^{4}}{4 h}

- \frac{3 ( s + 3 )}{s ( s + 2 ) ( s - 1 )}

\frac{5}{( 3 x - 2 ) ^{2}}

\frac{( x - 4 ) ( x + 1 )}{x - 3}