What is the derivative of x^4(x-2^2) ?

The derivative of x^4(x-2^2) is 6x^5-20x^4+16x^3

What is the first derivative of x^4(x-2^2) ?

The first derivative of x^4(x-2^2) is 6x^5-20x^4+16x^3

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^{4} (x - 2)^{2})

6 x^{5} - 20 x^{4} + 16 x^{3}

Solution steps

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

Apply the Product Rule:

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

f = x^{4}, g = (x - 2)^{2}

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

\frac{d}{d x} (x^{4}) = 4 x^{3}

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

= 4 x^{3} (x - 2)^{2} + 2 (x - 2) x^{4}

Simplify

4 x^{3} (x - 2)^{2} + 2 (x - 2) x^{4} : 6 x^{5} - 20 x^{4} + 16 x^{3}

= 6 x^{5} - 20 x^{4} + 16 x^{3}

y^{^{'}} = e^{y} 5^{x}

n = 1 \sum \infty \frac{60}{6 ^{n}}

\int e^{- 0.08 x} d x

\frac{d}{d x} (tan^{2} (x) cos (x))

n = 0 \sum \infty 6 (\frac{3}{4})^{n}

What is the derivative of x^4(x-2^2) ?
The derivative of x^4(x-2^2) is 6x^5-20x^4+16x^3
What is the first derivative of x^4(x-2^2) ?
The first derivative of x^4(x-2^2) is 6x^5-20x^4+16x^3