What is the derivative of 6x^{-2}+9x^{-1} ?

The derivative of 6x^{-2}+9x^{-1} is -(12)/(x^3)-9/(x^2)

What is the first derivative of 6x^{-2}+9x^{-1} ?

The first derivative of 6x^{-2}+9x^{-1} is -(12)/(x^3)-9/(x^2)

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\frac{d}{d x} (6 x^{- 2} + 9 x^{- 1})

- \frac{12}{x ^{3}} - \frac{9}{x ^{2}}

Solution steps

\frac{d}{d x} (6 x^{- 2} + 9 x^{- 1})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{- 2}) + \frac{d}{d x} (9 x^{- 1})

\frac{d}{d x} (6 x^{- 2}) = - \frac{12}{x ^{3}}

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

= - \frac{12}{x ^{3}} - \frac{9}{x ^{2}}

\frac{d}{d x} (2 x - x)

n = 1 \sum \infty \frac{n ^{2}}{e ^{n}}

6 y^{^{'}} - 2 y = x y^{4}

x \to \infty lim (x^{2} - 9, + x)

x \to \infty lim (3 x^{3})

What is the derivative of 6x^{-2}+9x^{-1} ?
The derivative of 6x^{-2}+9x^{-1} is -(12)/(x^3)-9/(x^2)
What is the first derivative of 6x^{-2}+9x^{-1} ?
The first derivative of 6x^{-2}+9x^{-1} is -(12)/(x^3)-9/(x^2)