What is the derivative of (x^5+1^4) ?

The derivative of (x^5+1^4) is 20x^4(x^5+1)^3

What is the first derivative of (x^5+1^4) ?

The first derivative of (x^5+1^4) is 20x^4(x^5+1)^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^{5} + 1)^{4})

20 x^{4} (x^{5} + 1)^{3}

Solution steps

\frac{d}{d x} ((x^{5} + 1)^{4})

Apply the chain rule:

4 (x^{5} + 1)^{3} \frac{d}{d x} (x^{5} + 1)

= 4 (x^{5} + 1)^{3} \frac{d}{d x} (x^{5} + 1)

\frac{d}{d x} (x^{5} + 1) = 5 x^{4}

= 4 (x^{5} + 1)^{3} \cdot 5 x^{4}

Simplify

= 20 x^{4} (x^{5} + 1)^{3}

f (x) = \frac{1}{x}, at x = 81

arccos (x) + x, at x = 0

y = 9 + 5 x^{2} - 2 x^{3}

2 y^{^{'}} + 4 y = 2 t e^{- 2 t}

\int \frac{3 - x}{3 + x} d x

What is the derivative of (x^5+1^4) ?
The derivative of (x^5+1^4) is 20x^4(x^5+1)^3
What is the first derivative of (x^5+1^4) ?
The first derivative of (x^5+1^4) is 20x^4(x^5+1)^3