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

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

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

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

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derivative of

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

- \frac{9 3}{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{9 3}{x ^{10}}

= - \frac{9 3}{x ^{10}}

x \to \infty lim ((x + 1)^{x + 2})

\frac{d x}{d t} = \frac{4 x ^{2} + 7 t 4 t ^{2} + x ^{2}}{4 t x}

\frac{d}{d x} (- \frac{81}{( 1 + 9 x ) ^{2}})

y = 5 x^{2}, y = 30 x - 45, [0, 45]

y^{^{''}} + 25 y = cos (5 t)

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