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

The derivative of (4/5 x^4) is (1024x^3)/(625)

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

The first derivative of (4/5 x^4) is (1024x^3)/(625)

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{4}{5} x)^{4})

\frac{1024 x ^{3}}{625}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

4 (\frac{4}{5} x)^{3} \frac{4}{5} : \frac{1024 x ^{3}}{625}

= \frac{1024 x ^{3}}{625}

\int 4 sec^{2} (2 x) tan (2 x) d x

100 - h^{2}

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

y^{^{'}} - 2 x y = x

\int cos^{5} (d) x d x

What is the derivative of (4/5 x^4) ?
The derivative of (4/5 x^4) is (1024x^3)/(625)
What is the first derivative of (4/5 x^4) ?
The first derivative of (4/5 x^4) is (1024x^3)/(625)