What is the derivative of-(120/(x^6)) ?

The derivative of-(120/(x^6)) is (720)/(x^7)

What is the first derivative of-(120/(x^6)) ?

The first derivative of-(120/(x^6)) is (720)/(x^7)

Popular >

\frac{d}{d x} (- \frac{120}{x ^{6}})

\frac{720}{x ^{7}}

Solution steps

\frac{d}{d x} (- \frac{120}{x ^{6}})

Take the constant out:

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

= - 120 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= - 120 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= - 120 (- 6 x^{- 6 - 1})

Simplify

- 120 (- 6 x^{- 6 - 1}) : \frac{720}{x ^{7}}

= \frac{720}{x ^{7}}

\frac{d}{d z} (x y)

x^{3} y^{^{'}} + 2 x^{2} y = - 4 cos (2 x) y^{- \frac{1}{2}}

x \to 1 lim (\frac{5}{x ^{3} - 1})

n = 0 \sum \infty 4 n^{2}

\frac{d}{d x} (- 6 cos (\frac{x}{2}) + 5 x)

What is the derivative of-(120/(x^6)) ?
The derivative of-(120/(x^6)) is (720)/(x^7)
What is the first derivative of-(120/(x^6)) ?
The first derivative of-(120/(x^6)) is (720)/(x^7)