What is the derivative of x^2(1-7x) ?

The derivative of x^2(1-7x) is 2x-21x^2

What is the first derivative of x^2(1-7x) ?

The first derivative of x^2(1-7x) is 2x-21x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{2} (1 - 7 x)

2 x - 21 x^{2}

Solution steps

\frac{d}{d x} (x^{2} (1 - 7 x))

Apply the Product Rule:

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

f = x^{2}, g = 1 - 7 x

= \frac{d}{d x} (x^{2}) (1 - 7 x) + \frac{d}{d x} (1 - 7 x) x^{2}

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

\frac{d}{d x} (1 - 7 x) = - 7

= 2 x (1 - 7 x) + (- 7) x^{2}

Simplify

2 x (1 - 7 x) + (- 7) x^{2} : 2 x - 21 x^{2}

= 2 x - 21 x^{2}

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

7 arctan (x)

\frac{\partial}{\partial x} (ln (y x))

f (x) = \frac{1}{x}, at x = a

f^{^{'}} (t) - f (t) = - 6 t

What is the derivative of x^2(1-7x) ?
The derivative of x^2(1-7x) is 2x-21x^2
What is the first derivative of x^2(1-7x) ?
The first derivative of x^2(1-7x) is 2x-21x^2