What is the derivative of y=4x-6x^3+4/x ?

The derivative of y=4x-6x^3+4/x is 4-18x^2-4/(x^2)

What is the first derivative of y=4x-6x^3+4/x ?

The first derivative of y=4x-6x^3+4/x is 4-18x^2-4/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = 4 x - 6 x^{3} + \frac{4}{x}

4 - 18 x^{2} - \frac{4}{x ^{2}}

Solution steps

\frac{d}{d x} (4 x - 6 x^{3} + \frac{4}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) - \frac{d}{d x} (6 x^{3}) + \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

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

= 4 - 18 x^{2} - \frac{4}{x ^{2}}

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

0.1 (0.7 n^{2} + 9 n + 29)^{(\frac{1}{2})}

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

\frac{89}{2} s

(e^{- \frac{1}{x}})^{^{'}}

What is the derivative of y=4x-6x^3+4/x ?
The derivative of y=4x-6x^3+4/x is 4-18x^2-4/(x^2)
What is the first derivative of y=4x-6x^3+4/x ?
The first derivative of y=4x-6x^3+4/x is 4-18x^2-4/(x^2)