What is the derivative of f(x)=(2x)(4x^2+6x^7+8) ?

The derivative of f(x)=(2x)(4x^2+6x^7+8) is 2(48x^7+12x^2+8)

What is the first derivative of f(x)=(2x)(4x^2+6x^7+8) ?

The first derivative of f(x)=(2x)(4x^2+6x^7+8) is 2(48x^7+12x^2+8)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = (2 x) (4 x^{2} + 6 x^{7} + 8)

2 (48 x^{7} + 12 x^{2} + 8)

Solution steps

\frac{d}{d x} (2 x (4 x^{2} + 6 x^{7} + 8))

Take the constant out:

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

= 2 \frac{d}{d x} (x (4 x^{2} + 6 x^{7} + 8))

Apply the Product Rule:

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

f = x, g = 4 x^{2} + 6 x^{7} + 8

= 2 (\frac{d x}{d x} (4 x^{2} + 6 x^{7} + 8) + \frac{d}{d x} (4 x^{2} + 6 x^{7} + 8) x)

\frac{d x}{d x} = 1

\frac{d}{d x} (4 x^{2} + 6 x^{7} + 8) = 42 x^{6} + 8 x

= 2 (1 \cdot (4 x^{2} + 6 x^{7} + 8) + (42 x^{6} + 8 x) x)

Simplify

2 (1 \cdot (4 x^{2} + 6 x^{7} + 8) + (42 x^{6} + 8 x) x) : 2 (48 x^{7} + 12 x^{2} + 8)

= 2 (48 x^{7} + 12 x^{2} + 8)

\int \frac{1}{b ^{2} + a ^{2} x ^{2}} d x

\int x^{2} ln (x) + e^{2 x} + 1 d x

\frac{d}{d x} (x^{2} - \frac{1}{x})

e^{- 5 x}

\frac{d}{d x} (x^{2} y^{4} e^{y})

What is the derivative of f(x)=(2x)(4x^2+6x^7+8) ?
The derivative of f(x)=(2x)(4x^2+6x^7+8) is 2(48x^7+12x^2+8)
What is the first derivative of f(x)=(2x)(4x^2+6x^7+8) ?
The first derivative of f(x)=(2x)(4x^2+6x^7+8) is 2(48x^7+12x^2+8)