en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (x+3(2x-1)^2)

Solution

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

Solution

12 x^{2} + 16 x - 11

Solution steps

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

Apply the Product Rule:

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

f = x + 3, g = (2 x - 1)^{2}

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

\frac{d}{d x} (x + 3) = 1

\frac{d}{d x} ((2 x - 1)^{2}) = 4 (2 x - 1)

= 1 \cdot (2 x - 1)^{2} + 4 (2 x - 1) (x + 3)

Simplify

1 \cdot (2 x - 1)^{2} + 4 (2 x - 1) (x + 3) : 12 x^{2} + 16 x - 11

= 12 x^{2} + 16 x - 11

Popular Examples

derivative of y=cos^4(x)derivative of

y = cos^{4} (x)

taylor sin(x),(pi/2)taylor

sin (x), (\frac{π}{2})

derivative of x^3-3x^2

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

derivative of (5t+300)/(t^2+25)derivative of

\frac{5 t + 300}{t ^{2} + 25}

derivative of (x-2/(2x+1))

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

Frequently Asked Questions (FAQ)

What is the derivative of (x+3(2x-1)^2) ?
The derivative of (x+3(2x-1)^2) is 12x^2+16x-11
What is the first derivative of (x+3(2x-1)^2) ?
The first derivative of (x+3(2x-1)^2) is 12x^2+16x-11