What is the derivative of 9x^{-4} ?

The derivative of 9x^{-4} is -(36)/(x^5)

What is the first derivative of 9x^{-4} ?

The first derivative of 9x^{-4} is -(36)/(x^5)

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derivative of

9 x^{- 4}

- \frac{36}{x ^{5}}

Solution steps

\frac{d}{d x} (9 x^{- 4})

Take the constant out:

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

= 9 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 9 (- 4 x^{- 4 - 1})

Simplify

9 (- 4 x^{- 4 - 1}) : - \frac{36}{x ^{5}}

= - \frac{36}{x ^{5}}

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

690 (1 - (\frac{x}{345})^{2})

\int \frac{100}{36 + 25 x ^{2}} d x

n = 1 \sum \infty n e^{- n}

2 y^{^{'}} = y^{3} \cdot cos (x)

What is the derivative of 9x^{-4} ?
The derivative of 9x^{-4} is -(36)/(x^5)
What is the first derivative of 9x^{-4} ?
The first derivative of 9x^{-4} is -(36)/(x^5)