What is the derivative of (x^5-5x/5) ?

The derivative of (x^5-5x/5) is x^4-1

What is the first derivative of (x^5-5x/5) ?

The first derivative of (x^5-5x/5) is x^4-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{x ^{5} - 5 x}{5})

x^{4} - 1

Solution steps

\frac{d}{d x} (\frac{x ^{5} - 5 x}{5})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (5 x) = 5

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

Simplify

\frac{1}{5} (5 x^{4} - 5) : x^{4} - 1

= x^{4} - 1

\int \frac{x}{a + b x ^{2}} d x

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

\frac{d}{d x} (i n^{4} x)

x^{2} - x + 1

\frac{\partial}{\partial x} (2 x)

What is the derivative of (x^5-5x/5) ?
The derivative of (x^5-5x/5) is x^4-1
What is the first derivative of (x^5-5x/5) ?
The first derivative of (x^5-5x/5) is x^4-1