What is the derivative of 4/(x^{10}) ?

The derivative of 4/(x^{10}) is -(40)/(x^{11)}

What is the first derivative of 4/(x^{10}) ?

The first derivative of 4/(x^{10}) is -(40)/(x^{11)}

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\frac{d}{d x} (\frac{4}{x ^{10}})

- \frac{40}{x ^{11}}

Solution steps

\frac{d}{d x} (\frac{4}{x ^{10}})

Take the constant out:

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

= 4 \frac{d}{d x} (\frac{1}{x ^{10}})

Apply exponent rule:

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

= 4 \frac{d}{d x} (x^{- 10})

Apply the Power Rule:

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

= 4 (- 10 x^{- 10 - 1})

Simplify

4 (- 10 x^{- 10 - 1}) : - \frac{40}{x ^{11}}

= - \frac{40}{x ^{11}}

What is the derivative of 4/(x^{10}) ?
The derivative of 4/(x^{10}) is -(40)/(x^{11)}
What is the first derivative of 4/(x^{10}) ?
The first derivative of 4/(x^{10}) is -(40)/(x^{11)}