What is the derivative of 3/(x^7) ?

The derivative of 3/(x^7) is -(21)/(x^8)

What is the first derivative of 3/(x^7) ?

The first derivative of 3/(x^7) is -(21)/(x^8)

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derivative of

\frac{3}{x ^{7}}

- \frac{21}{x ^{8}}

Solution steps

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

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{x ^{7}})

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

3 (- 7 x^{- 7 - 1}) : - \frac{21}{x ^{8}}

= - \frac{21}{x ^{8}}

2 x y^{^{'}} + 7 y = 7 x^{4}, y (1) = 4

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

\int_{- 2}^{2} (x^{3} cos (\frac{x}{2}) + \frac{1}{2}) 4 - x^{2} d x

n = 1 \sum \infty \frac{1}{n ^{2} + 4 n + 5}

\int_{7}^{2} g (x) d x

What is the derivative of 3/(x^7) ?
The derivative of 3/(x^7) is -(21)/(x^8)
What is the first derivative of 3/(x^7) ?
The first derivative of 3/(x^7) is -(21)/(x^8)