en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 4/5 x^{5/4}

Solution

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

Solution

x^{\frac{1}{4}}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

\frac{4}{5} \cdot \frac{5}{4} x^{\frac{5}{4} - 1} : x^{\frac{1}{4}}

= x^{\frac{1}{4}}

Popular Examples

derivative of sin(x)+xcos(x)derivative of

sin (x) + x cos (x)

derivative of 6^{x^2}

\frac{d}{d x} (6^{x^{2}})

derivative of ((6x^2+8x+2)/(sqrt(x)))

\frac{d}{d x} (\frac{( 6 x ^{2} + 8 x + 2 )}{x})

(\partial)/(\partial x)(30y^4sin(2x))

\frac{\partial}{\partial x} (30 y^{4} sin (2 x))

derivative of (x-4)ln(4-x)derivative of

(x - 4) ln (4 - x)

Frequently Asked Questions (FAQ)

What is the derivative of 4/5 x^{5/4} ?
The derivative of 4/5 x^{5/4} is x^{1/4}
What is the first derivative of 4/5 x^{5/4} ?
The first derivative of 4/5 x^{5/4} is x^{1/4}