en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 5/(x^4)+\sqrt[3]{x^2}

Solution

derivative of

\frac{5}{x ^{4}} + 3 x^{2}

Solution

- \frac{20}{x ^{5}} + \frac{2 x}{3 ( x ^{2} ) ^{\frac{2}{3}}}

Solution steps

\frac{d}{d x} (\frac{5}{x ^{4}} + 3 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{5}{x ^{4}}) + \frac{d}{d x} (3 x^{2})

\frac{d}{d x} (\frac{5}{x ^{4}}) = - \frac{20}{x ^{5}}

\frac{d}{d x} (3 x^{2}) = \frac{2 x}{3 ( x ^{2} ) ^{\frac{2}{3}}}

= - \frac{20}{x ^{5}} + \frac{2 x}{3 ( x ^{2} ) ^{\frac{2}{3}}}

Graph

Popular Examples

derivative of (2xy/(x+y))

\frac{d}{d x} (\frac{2 x y}{x + y})

derivative of sqrt(154)

\frac{d}{d x} (154)

derivative of ((4x^2)/(4-x))^3 derivative of

(\frac{4 x ^{2}}{4 - x})^{3}

(dy)/(dx)=(x-y)/(x+y)

\frac{d y}{d x} = \frac{x - y}{x + y}

derivative of (1/(y^2)-3/(y^4))(y+5y^3)derivative of

(\frac{1}{y ^{2}} - \frac{3}{y ^{4}}) (y + 5 y^{3})

Frequently Asked Questions (FAQ)

What is the derivative of 5/(x^4)+\sqrt[3]{x^2} ?
The derivative of 5/(x^4)+\sqrt[3]{x^2} is -(20)/(x^5)+(2x)/(3(x^2)^{2/3)}
What is the first derivative of 5/(x^4)+\sqrt[3]{x^2} ?
The first derivative of 5/(x^4)+\sqrt[3]{x^2} is -(20)/(x^5)+(2x)/(3(x^2)^{2/3)}