en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

3 x^{2} + 4 x - 20

Solution steps

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

Apply the Product Rule:

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

f = x + 6, g = (x - 2)^{2}

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

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

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

= 1 \cdot (x - 2)^{2} + 2 (x - 2) (x + 6)

Simplify

1 \cdot (x - 2)^{2} + 2 (x - 2) (x + 6) : 3 x^{2} + 4 x - 20

= 3 x^{2} + 4 x - 20

Graph

Popular Examples

derivative of 1/(sqrt(5-x))

\frac{d}{d x} (\frac{1}{5 - x})

(\partial)/(\partial x)(x^2y-y^2x)

\frac{\partial}{\partial x} (x^{2} y - y^{2} x)

derivative of e^{(x-1)^2}derivative of

e^{(x - 1)^{2}}

derivative of cot(x^8)derivative of

cot (x^{8})

derivative of y=((8x^2-5)/(2-x))^3 derivative of

y = (\frac{8 x ^{2} - 5}{2 - x})^{3}

Frequently Asked Questions (FAQ)

What is the derivative of (x+6(x-2)^2) ?
The derivative of (x+6(x-2)^2) is 3x^2+4x-20
What is the first derivative of (x+6(x-2)^2) ?
The first derivative of (x+6(x-2)^2) is 3x^2+4x-20