What is the derivative of sqrt(5x)+(sqrt(7))/x ?

The derivative of sqrt(5x)+(sqrt(7))/x is (sqrt(5)x^{3/2}-2sqrt(7))/(2x^{3/2)sqrt(x)}

What is the first derivative of sqrt(5x)+(sqrt(7))/x ?

The first derivative of sqrt(5x)+(sqrt(7))/x is (sqrt(5)x^{3/2}-2sqrt(7))/(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

5 x + \frac{7}{x}

\frac{5 x ^{\frac{3}{2}} - 2 7}{2 x ^{\frac{3}{2}} x}

Solution steps

\frac{d}{d x} (5 x + \frac{7}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) + \frac{d}{d x} (\frac{7}{x})

\frac{d}{d x} (5 x) = \frac{5}{2 x}

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

= \frac{5}{2 x} - \frac{7}{x ^{2}}

Simplify

\frac{5}{2 x} - \frac{7}{x ^{2}} : \frac{5 x ^{\frac{3}{2}} - 2 7}{2 x ^{\frac{3}{2}} x}

= \frac{5 x ^{\frac{3}{2}} - 2 7}{2 x ^{\frac{3}{2}} x}

\frac{d}{d x} (x^{3} - 9 x + 3)

f (x) = \frac{1}{x + 2}, [3, 6]

y = sin (tan (8 x))

x \to 9 lim (\frac{1}{( x - 9 ) ^{2}})

\frac{\partial}{\partial x} (1 - x^{2} + y^{2})

What is the derivative of sqrt(5x)+(sqrt(7))/x ?
The derivative of sqrt(5x)+(sqrt(7))/x is (sqrt(5)x^{3/2}-2sqrt(7))/(2x^{3/2)sqrt(x)}
What is the first derivative of sqrt(5x)+(sqrt(7))/x ?
The first derivative of sqrt(5x)+(sqrt(7))/x is (sqrt(5)x^{3/2}-2sqrt(7))/(2x^{3/2)sqrt(x)}