What is the derivative of 11sqrt(x)-8/x ?

The derivative of 11sqrt(x)-8/x is (11x^{3/2}+16)/(2x^{3/2)sqrt(x)}

What is the first derivative of 11sqrt(x)-8/x ?

The first derivative of 11sqrt(x)-8/x is (11x^{3/2}+16)/(2x^{3/2)sqrt(x)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

11 x - \frac{8}{x}

\frac{11 x ^{\frac{3}{2}} + 16}{2 x ^{\frac{3}{2}} x}

Solution steps

\frac{d}{d x} (11 x - \frac{8}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (11 x) - \frac{d}{d x} (\frac{8}{x})

\frac{d}{d x} (11 x) = \frac{11}{2 x}

\frac{d}{d x} (\frac{8}{x}) = - \frac{8}{x ^{2}}

= \frac{11}{2 x} - (- \frac{8}{x ^{2}})

Simplify

\frac{11}{2 x} - (- \frac{8}{x ^{2}}) : \frac{11 x ^{\frac{3}{2}} + 16}{2 x ^{\frac{3}{2}} x}

= \frac{11 x ^{\frac{3}{2}} + 16}{2 x ^{\frac{3}{2}} x}

\int \frac{1}{y ^{6}} - \frac{9}{y} d y

(4 a + 1)^{2}

y^{^{''}} + 4 y^{^{'}} = 10 e^{t}

\frac{d}{d x} (\frac{e ^{4 x} + e ^{- 4 x}}{x})

2 x, x = 3

What is the derivative of 11sqrt(x)-8/x ?
The derivative of 11sqrt(x)-8/x is (11x^{3/2}+16)/(2x^{3/2)sqrt(x)}
What is the first derivative of 11sqrt(x)-8/x ?
The first derivative of 11sqrt(x)-8/x is (11x^{3/2}+16)/(2x^{3/2)sqrt(x)}