What is the derivative of f(x)=x^2(1-2x) ?

The derivative of f(x)=x^2(1-2x) is 2x-6x^2

What is the first derivative of f(x)=x^2(1-2x) ?

The first derivative of f(x)=x^2(1-2x) is 2x-6x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = x^{2} (1 - 2 x)

2 x - 6 x^{2}

Solution steps

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

Apply the Product Rule:

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

f = x^{2}, g = 1 - 2 x

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

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

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

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

Simplify

2 x (1 - 2 x) + (- 2) x^{2} : 2 x - 6 x^{2}

= 2 x - 6 x^{2}

\frac{d y}{d x} = \frac{5 x}{y}

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

\int cos (x^{3} - 1) d x

x \to 2 lim (- x^{2} + 4 x + 2)

What is the derivative of f(x)=x^2(1-2x) ?
The derivative of f(x)=x^2(1-2x) is 2x-6x^2
What is the first derivative of f(x)=x^2(1-2x) ?
The first derivative of f(x)=x^2(1-2x) is 2x-6x^2