What is the derivative of 9x^{-4}-9x^{-1} ?

The derivative of 9x^{-4}-9x^{-1} is -(36)/(x^5)+9/(x^2)

What is the first derivative of 9x^{-4}-9x^{-1} ?

The first derivative of 9x^{-4}-9x^{-1} is -(36)/(x^5)+9/(x^2)

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derivative of

9 x^{- 4} - 9 x^{- 1}

- \frac{36}{x ^{5}} + \frac{9}{x ^{2}}

Solution steps

\frac{d}{d x} (9 x^{- 4} - 9 x^{- 1})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (9 x^{- 4}) - \frac{d}{d x} (9 x^{- 1})

\frac{d}{d x} (9 x^{- 4}) = - \frac{36}{x ^{5}}

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

= - \frac{36}{x ^{5}} - (- \frac{9}{x ^{2}})

Simplify

= - \frac{36}{x ^{5}} + \frac{9}{x ^{2}}

\int_{- \infty}^{1} 5^{x} d x

x^{^{''}} + 9 x - 27 = 0

\int_{3}^{5} \frac{2}{4 + ( x - 3 ) ^{2}} d x

\frac{d}{d x} ((2 x - 1) (3 - 4 x))

\frac{d}{d s} (\frac{1}{s + 2})

What is the derivative of 9x^{-4}-9x^{-1} ?
The derivative of 9x^{-4}-9x^{-1} is -(36)/(x^5)+9/(x^2)
What is the first derivative of 9x^{-4}-9x^{-1} ?
The first derivative of 9x^{-4}-9x^{-1} is -(36)/(x^5)+9/(x^2)