What is the derivative of 7x^{-3} ?

The derivative of 7x^{-3} is -(21)/(x^4)

What is the first derivative of 7x^{-3} ?

The first derivative of 7x^{-3} is -(21)/(x^4)

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derivative of

7 x^{- 3}

- \frac{21}{x ^{4}}

Solution steps

\frac{d}{d x} (7 x^{- 3})

Take the constant out:

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

= 7 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= 7 (- 3 x^{- 3 - 1})

Simplify

7 (- 3 x^{- 3 - 1}) : - \frac{21}{x ^{4}}

= - \frac{21}{x ^{4}}

f (x) = 4 x, (6, 9.798)

\int \frac{x ^{3}}{x ^{2} + 49} d x

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

\int (\frac{1}{2} x) d x

e^{- h} + e^{h}

What is the derivative of 7x^{-3} ?
The derivative of 7x^{-3} is -(21)/(x^4)
What is the first derivative of 7x^{-3} ?
The first derivative of 7x^{-3} is -(21)/(x^4)