What is the derivative of-(12/(x^5)) ?

The derivative of-(12/(x^5)) is (60)/(x^6)

What is the first derivative of-(12/(x^5)) ?

The first derivative of-(12/(x^5)) is (60)/(x^6)

Popular >

\frac{d}{d x} (- \frac{12}{x ^{5}})

\frac{60}{x ^{6}}

Solution steps

\frac{d}{d x} (- \frac{12}{x ^{5}})

Take the constant out:

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

= - 12 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= - 12 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= - 12 (- 5 x^{- 5 - 1})

Simplify

- 12 (- 5 x^{- 5 - 1}) : \frac{60}{x ^{6}}

= \frac{60}{x ^{6}}

x \to 0 lim (sin (\frac{2 π}{x}))

\int \frac{6 + x}{6 - x} d x

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

\int x^{4 n} d x

f (x) = \frac{2 x - 1}{x + 1}, at x = 1

What is the derivative of-(12/(x^5)) ?
The derivative of-(12/(x^5)) is (60)/(x^6)
What is the first derivative of-(12/(x^5)) ?
The first derivative of-(12/(x^5)) is (60)/(x^6)