What is the derivative of 1/(x^5+1/(x^6)) ?

The derivative of 1/(x^5+1/(x^6)) is -5/(x^6)-6/(x^7)

What is the first derivative of 1/(x^5+1/(x^6)) ?

The first derivative of 1/(x^5+1/(x^6)) is -5/(x^6)-6/(x^7)

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\frac{d}{d x} (\frac{1}{x ^{5}} + \frac{1}{x ^{6}})

- \frac{5}{x ^{6}} - \frac{6}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{5}} + \frac{1}{x ^{6}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{x ^{5}}) + \frac{d}{d x} (\frac{1}{x ^{6}})

\frac{d}{d x} (\frac{1}{x ^{5}}) = - \frac{5}{x ^{6}}

\frac{d}{d x} (\frac{1}{x ^{6}}) = - \frac{6}{x ^{7}}

= - \frac{5}{x ^{6}} - \frac{6}{x ^{7}}

\int (x + 1) 6 - x d x

\frac{d}{d x} ((2 + x)^{2})

\int_{1}^{2} 2^{- θ} d θ

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

x \to - 3 - lim (x^{3} + 27)

What is the derivative of 1/(x^5+1/(x^6)) ?
The derivative of 1/(x^5+1/(x^6)) is -5/(x^6)-6/(x^7)
What is the first derivative of 1/(x^5+1/(x^6)) ?
The first derivative of 1/(x^5+1/(x^6)) is -5/(x^6)-6/(x^7)