What is the derivative of-5x^4 ?

The derivative of-5x^4 is -20x^3

What is the first derivative of-5x^4 ?

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

- 20 x^{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= - 5 \cdot 4 x^{4 - 1}

Simplify

= - 20 x^{3}

x \to 3 + lim (\frac{b x - 3 b}{x - 3})

\frac{\partial}{\partial x} (\frac{x}{x ^{2} - x + 1})

h \to 0 lim (tan (h))

\frac{d}{d t} (t e^{2 t})

\int (x + 1) e^{5 x^{2} + 10 x} d x