en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(6x+6x^2)

Solution

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

Solution

\frac{3 ( 2 x + 1 )}{6 x + 6 x ^{2}}

Solution steps

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

Apply the chain rule:

\frac{1}{2 6 x + 6 x ^{2}} \frac{d}{d x} (6 x + 6 x^{2})

= \frac{1}{2 6 x + 6 x ^{2}} \frac{d}{d x} (6 x + 6 x^{2})

\frac{d}{d x} (6 x + 6 x^{2}) = 6 + 12 x

= \frac{1}{2 6 x + 6 x ^{2}} (6 + 12 x)

Simplify

\frac{1}{2 6 x + 6 x ^{2}} (6 + 12 x) : \frac{3 ( 2 x + 1 )}{6 x + 6 x ^{2}}

= \frac{3 ( 2 x + 1 )}{6 x + 6 x ^{2}}

Popular Examples

(dv)/(dt)=0.025*7-v/(2000),v(0)=100

\frac{d v}{d t} = 0.025 \cdot 7 - \frac{v}{2000}, v (0) = 100

integral from 4 to 10 of 0.13x

\int_{4}^{10} 0.13 x d x

integral of 7-x

\int 7 - x d x

integral of 3e^{2x}

\int 3 e^{2 x} d x

(\partial)/(\partial y)(x^2y+xy^3)

\frac{\partial}{\partial y} (x^{2} y + x y^{3})

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(6x+6x^2) ?
The derivative of sqrt(6x+6x^2) is (3(2x+1))/(sqrt(6x+6x^2))
What is the first derivative of sqrt(6x+6x^2) ?
The first derivative of sqrt(6x+6x^2) is (3(2x+1))/(sqrt(6x+6x^2))