What is the derivative of x^2(1-8x) ?

The derivative of x^2(1-8x) is 2x-24x^2

What is the first derivative of x^2(1-8x) ?

The first derivative of x^2(1-8x) is 2x-24x^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 - 8 x)

2 x - 24 x^{2}

Solution steps

\frac{d}{d x} (x^{2} (1 - 8 x))

Apply the Product Rule:

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

f = x^{2}, g = 1 - 8 x

= \frac{d}{d x} (x^{2}) (1 - 8 x) + \frac{d}{d x} (1 - 8 x) x^{2}

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

\frac{d}{d x} (1 - 8 x) = - 8

= 2 x (1 - 8 x) + (- 8) x^{2}

Simplify

2 x (1 - 8 x) + (- 8) x^{2} : 2 x - 24 x^{2}

= 2 x - 24 x^{2}

\frac{d N}{d t} + N = Nt e^{t + 8}

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

\int 1 + 2 sin (θ) + sin^{2} (θ) d θ

sin (3 x)

\int 4 e^{c o s (x)} sin (x) d x

What is the derivative of x^2(1-8x) ?
The derivative of x^2(1-8x) is 2x-24x^2
What is the first derivative of x^2(1-8x) ?
The first derivative of x^2(1-8x) is 2x-24x^2