What is the derivative of sqrt(x)+1/(sqrt(x^3)) ?

The derivative of sqrt(x)+1/(sqrt(x^3)) is 1/(2sqrt(x))-(3x^2)/(2(x^3)^{3/2)}

What is the first derivative of sqrt(x)+1/(sqrt(x^3)) ?

The first derivative of sqrt(x)+1/(sqrt(x^3)) is 1/(2sqrt(x))-(3x^2)/(2(x^3)^{3/2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x + \frac{1}{x ^{3}}

\frac{1}{2 x} - \frac{3 x ^{2}}{2 ( x ^{3} ) ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (x + \frac{1}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (\frac{1}{x ^{3}})

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (\frac{1}{x ^{3}}) = - \frac{3 x ^{2}}{2 ( x ^{3} ) ^{\frac{3}{2}}}

= \frac{1}{2 x} - \frac{3 x ^{2}}{2 ( x ^{3} ) ^{\frac{3}{2}}}

\int \frac{1}{64 e ^{- 6 x} + e ^{6 x}} d x

\frac{d}{d x} (2 sec (\frac{x}{2}))

\int \frac{1}{3 + x} d x

2 y^{^{'}} + 5 y = 4

\int cos (nπ \frac{x}{2}) d x

What is the derivative of sqrt(x)+1/(sqrt(x^3)) ?
The derivative of sqrt(x)+1/(sqrt(x^3)) is 1/(2sqrt(x))-(3x^2)/(2(x^3)^{3/2)}
What is the first derivative of sqrt(x)+1/(sqrt(x^3)) ?
The first derivative of sqrt(x)+1/(sqrt(x^3)) is 1/(2sqrt(x))-(3x^2)/(2(x^3)^{3/2)}