What is the derivative of x(s-2x(s-2x)) ?

The derivative of x(s-2x(s-2x)) is 12x^2-8sx+s^2

What is the first derivative of x(s-2x(s-2x)) ?

The first derivative of x(s-2x(s-2x)) is 12x^2-8sx+s^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (x (s - 2 x) (s - 2 x))

12 x^{2} - 8 s x + s^{2}

Solution steps

\frac{d}{d x} (x (s - 2 x) (s - 2 x))

Simplify

x (s - 2 x) (s - 2 x) : x (s - 2 x)^{2}

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

1 \cdot (s - 2 x)^{2} + (- 4 (s - 2 x)) x : 12 x^{2} - 8 s x + s^{2}

= 12 x^{2} - 8 s x + s^{2}

n = 0 \sum \infty n^{\frac{3}{2}}

n = 3 \sum \infty (\frac{6}{11})^{- n}

4 x (x^{2} - 9)

\frac{\partial}{\partial y} (x (1 - x - 2 y))

What is the derivative of x(s-2x(s-2x)) ?
The derivative of x(s-2x(s-2x)) is 12x^2-8sx+s^2
What is the first derivative of x(s-2x(s-2x)) ?
The first derivative of x(s-2x(s-2x)) is 12x^2-8sx+s^2