What is the derivative of y= 5/(6x^5) ?

The derivative of y= 5/(6x^5) is -(25)/(6x^6)

What is the first derivative of y= 5/(6x^5) ?

The first derivative of y= 5/(6x^5) is -(25)/(6x^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = \frac{5}{6 x ^{5}}

- \frac{25}{6 x ^{6}}

Solution steps

\frac{d}{d x} (\frac{5}{6 x ^{5}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{5}{6} \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= \frac{5}{6} \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{5}{6} (- 5 x^{- 5 - 1})

Simplify

\frac{5}{6} (- 5 x^{- 5 - 1}) : - \frac{25}{6 x ^{6}}

= - \frac{25}{6 x ^{6}}

x \to 9 lim (6 x + ∣ x - 9 ∣)

\frac{d x}{d y} = 5 (40 - x)

\frac{d}{d x} (\frac{x ^{2}}{x ^{2} + 16})

y^{^{''}} - y = x^{2} - 3 x

f (x) = \frac{1}{4 x}

What is the derivative of y= 5/(6x^5) ?
The derivative of y= 5/(6x^5) is -(25)/(6x^6)
What is the first derivative of y= 5/(6x^5) ?
The first derivative of y= 5/(6x^5) is -(25)/(6x^6)