What is the derivative of-8/(x^9) ?

The derivative of-8/(x^9) is (72)/(x^{10)}

What is the first derivative of-8/(x^9) ?

The first derivative of-8/(x^9) is (72)/(x^{10)}

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derivative of

- \frac{8}{x ^{9}}

\frac{72}{x ^{10}}

Solution steps

\frac{d}{d x} (- \frac{8}{x ^{9}})

Take the constant out:

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

= - 8 \frac{d}{d x} (\frac{1}{x ^{9}})

Apply exponent rule:

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

= - 8 \frac{d}{d x} (x^{- 9})

Apply the Power Rule:

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

= - 8 (- 9 x^{- 9 - 1})

Simplify

- 8 (- 9 x^{- 9 - 1}) : \frac{72}{x ^{10}}

= \frac{72}{x ^{10}}

\int (x^{4} + 2 x - 9) ln (x) d x

\frac{3}{x + 1}

t y^{^{'}} + 2 y = sin (t), y (\frac{π}{2}) = 3

y^{^{'}} = y (3 - y t)

\frac{d}{d x} (3 \cdot sin (x))

What is the derivative of-8/(x^9) ?
The derivative of-8/(x^9) is (72)/(x^{10)}
What is the first derivative of-8/(x^9) ?
The first derivative of-8/(x^9) is (72)/(x^{10)}