What is the derivative of 1/(5u^5) ?

The derivative of 1/(5u^5) is -1/(u^6)

What is the first derivative of 1/(5u^5) ?

The first derivative of 1/(5u^5) is -1/(u^6)

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derivative of

\frac{1}{5 u ^{5}}

- \frac{1}{u ^{6}}

Solution steps

\frac{d}{d u} (\frac{1}{5 u ^{5}})

Take the constant out:

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

= \frac{1}{5} \frac{d}{d u} (\frac{1}{u ^{5}})

Apply exponent rule:

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

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

Apply the Power Rule:

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

= \frac{1}{5} (- 5 u^{- 5 - 1})

Simplify

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

= - \frac{1}{u ^{6}}

4 (x - \frac{1}{x})^{4}, at x = 2

\int sin (θ) cos^{3} (θ) d θ

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

(\frac{1}{1 - x ^{2}})^{^{'}}

y^{^{'}} = 7 y - x

What is the derivative of 1/(5u^5) ?
The derivative of 1/(5u^5) is -1/(u^6)
What is the first derivative of 1/(5u^5) ?
The first derivative of 1/(5u^5) is -1/(u^6)