What is the derivative of y=7x^{-7} ?

The derivative of y=7x^{-7} is -(49)/(x^8)

What is the first derivative of y=7x^{-7} ?

The first derivative of y=7x^{-7} is -(49)/(x^8)

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derivative of

y = 7 x^{- 7}

- \frac{49}{x ^{8}}

Solution steps

\frac{d}{d x} (7 x^{- 7})

Take the constant out:

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

= 7 \frac{d}{d x} (x^{- 7})

Apply the Power Rule:

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

= 7 (- 7 x^{- 7 - 1})

Simplify

7 (- 7 x^{- 7 - 1}) : - \frac{49}{x ^{8}}

= - \frac{49}{x ^{8}}

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What is the derivative of y=7x^{-7} ?
The derivative of y=7x^{-7} is -(49)/(x^8)
What is the first derivative of y=7x^{-7} ?
The first derivative of y=7x^{-7} is -(49)/(x^8)