What is the derivative of (x-2)(3x+1)^2 ?

The derivative of (x-2)(3x+1)^2 is 27x^2-24x-11

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

The first derivative of (x-2)(3x+1)^2 is 27x^2-24x-11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(x - 2) (3 x + 1)^{2}

27 x^{2} - 24 x - 11

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

1 \cdot (3 x + 1)^{2} + 6 (3 x + 1) (x - 2) : 27 x^{2} - 24 x - 11

= 27 x^{2} - 24 x - 11

\frac{d y}{d x} = e^{6 x} + 9 y

5 x - x^{2}, x, 4, 4

\int cos^{3} (y) d y

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

y^{^{'}} - 3 y = e^{2 t}

What is the derivative of (x-2)(3x+1)^2 ?
The derivative of (x-2)(3x+1)^2 is 27x^2-24x-11
What is the first derivative of (x-2)(3x+1)^2 ?
The first derivative of (x-2)(3x+1)^2 is 27x^2-24x-11