What is the derivative of 9/(x^5) ?

The derivative of 9/(x^5) is -(45)/(x^6)

What is the first derivative of 9/(x^5) ?

The first derivative of 9/(x^5) is -(45)/(x^6)

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\frac{d}{d x} (\frac{9}{x ^{5}})

- \frac{45}{x ^{6}}

Solution steps

\frac{d}{d x} (\frac{9}{x ^{5}})

Take the constant out:

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

= 9 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= 9 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= 9 (- 5 x^{- 5 - 1})

Simplify

9 (- 5 x^{- 5 - 1}) : - \frac{45}{x ^{6}}

= - \frac{45}{x ^{6}}

X

\int \frac{4 x ^{2} - 1}{x} d x

y^{^{'}} = \frac{x ( x ^{2} + 1 )}{4 y ^{3}}, y (0) = - \frac{1}{2}

\frac{( s + 1 )}{s ^{2} + s + 3}

\int_{1}^{5} 3 d t

What is the derivative of 9/(x^5) ?
The derivative of 9/(x^5) is -(45)/(x^6)
What is the first derivative of 9/(x^5) ?
The first derivative of 9/(x^5) is -(45)/(x^6)