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Popular >

derivative of 2x^{-14/5}

Solution

\frac{d}{d x} (2 x^{- \frac{14}{5}})

Solution

- \frac{28}{5 x ^{\frac{19}{5}}}

Solution steps

\frac{d}{d x} (2 x^{- \frac{14}{5}})

Take the constant out:

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

= 2 \frac{d}{d x} (x^{- \frac{14}{5}})

Apply the Power Rule:

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

= 2 (- \frac{14}{5} x^{- \frac{14}{5} - 1})

Simplify

2 (- \frac{14}{5} x^{- \frac{14}{5} - 1}) : - \frac{28}{5 x ^{\frac{19}{5}}}

= - \frac{28}{5 x ^{\frac{19}{5}}}

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Frequently Asked Questions (FAQ)

What is the derivative of 2x^{-14/5} ?
The derivative of 2x^{-14/5} is -(28)/(5x^{19/5)}
What is the first derivative of 2x^{-14/5} ?
The first derivative of 2x^{-14/5} is -(28)/(5x^{19/5)}