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

The derivative of 1/(2sqrt(x))+1/(3x^{2/3)} is -1/(4x^{3/2)}-2/(9x^{5/3)}

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

The first derivative of 1/(2sqrt(x))+1/(3x^{2/3)} is -1/(4x^{3/2)}-2/(9x^{5/3)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{1}{2 x} + \frac{1}{3 x ^{\frac{2}{3}}}

- \frac{1}{4 x ^{\frac{3}{2}}} - \frac{2}{9 x ^{\frac{5}{3}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{1}{2 x}) = - \frac{1}{4 x ^{\frac{3}{2}}}

\frac{d}{d x} (\frac{1}{3 x ^{\frac{2}{3}}}) = - \frac{2}{9 x ^{\frac{5}{3}}}

= - \frac{1}{4 x ^{\frac{3}{2}}} - \frac{2}{9 x ^{\frac{5}{3}}}

\frac{d}{d x} (\frac{8 x ^{3} - 6 x ^{2}}{x ^{2} + 3 x - 2})

3 cos (4 t)

\int e^{\frac{2}{x}} d x

\int 10 x + 3 x^{2} + 12 x^{3} + C d x

\frac{( s + 1 )}{s ^{2} + 2 s + 2}

What is the derivative of 1/(2sqrt(x))+1/(3x^{2/3)} ?
The derivative of 1/(2sqrt(x))+1/(3x^{2/3)} is -1/(4x^{3/2)}-2/(9x^{5/3)}
What is the first derivative of 1/(2sqrt(x))+1/(3x^{2/3)} ?
The first derivative of 1/(2sqrt(x))+1/(3x^{2/3)} is -1/(4x^{3/2)}-2/(9x^{5/3)}