What is the derivative of 3/(x^9) ?

The derivative of 3/(x^9) is -(27)/(x^{10)}

What is the first derivative of 3/(x^9) ?

The first derivative of 3/(x^9) is -(27)/(x^{10)}

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derivative of

\frac{3}{x ^{9}}

- \frac{27}{x ^{10}}

Solution steps

\frac{d}{d x} (\frac{3}{x ^{9}})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{x ^{9}})

Apply exponent rule:

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

= 3 \frac{d}{d x} (x^{- 9})

Apply the Power Rule:

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

= 3 (- 9 x^{- 9 - 1})

Simplify

3 (- 9 x^{- 9 - 1}) : - \frac{27}{x ^{10}}

= - \frac{27}{x ^{10}}

y^{^{'}} = 7 x + y, y (0) = 9

\int 3 x^{2} - 12 d x

\int x^{9} x^{5} + 2 d x

x y^{^{'}} - y^{2} ln (x) + y = 0

x \to 3 lim (7 x - 6)

What is the derivative of 3/(x^9) ?
The derivative of 3/(x^9) is -(27)/(x^{10)}
What is the first derivative of 3/(x^9) ?
The first derivative of 3/(x^9) is -(27)/(x^{10)}