What is the derivative of 2/(x^5) ?

The derivative of 2/(x^5) is -(10)/(x^6)

What is the first derivative of 2/(x^5) ?

The first derivative of 2/(x^5) is -(10)/(x^6)

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

- \frac{10}{x ^{6}}

Solution steps

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

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= 2 (- 5 x^{- 5 - 1})

Simplify

2 (- 5 x^{- 5 - 1}) : - \frac{10}{x ^{6}}

= - \frac{10}{x ^{6}}

f (x) 2 z (9 z^{2} - 3 z + 1)^{4}

\int_{\frac{π}{6}}^{π} sin (θ) d θ

\int \frac{8}{cos ( x ) - 1} d x

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

x \to 3 lim (\frac{x ^{2} + 4}{x - 5})

What is the derivative of 2/(x^5) ?
The derivative of 2/(x^5) is -(10)/(x^6)
What is the first derivative of 2/(x^5) ?
The first derivative of 2/(x^5) is -(10)/(x^6)