What is the derivative of 4/(x^6)+2/x-5/(x^4) ?

The derivative of 4/(x^6)+2/x-5/(x^4) is -(24)/(x^7)-2/(x^2)+(20)/(x^5)

What is the first derivative of 4/(x^6)+2/x-5/(x^4) ?

The first derivative of 4/(x^6)+2/x-5/(x^4) is -(24)/(x^7)-2/(x^2)+(20)/(x^5)

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derivative of

\frac{4}{x ^{6}} + \frac{2}{x} - \frac{5}{x ^{4}}

- \frac{24}{x ^{7}} - \frac{2}{x ^{2}} + \frac{20}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{4}{x ^{6}} + \frac{2}{x} - \frac{5}{x ^{4}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{4}{x ^{6}}) + \frac{d}{d x} (\frac{2}{x}) - \frac{d}{d x} (\frac{5}{x ^{4}})

\frac{d}{d x} (\frac{4}{x ^{6}}) = - \frac{24}{x ^{7}}

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

\frac{d}{d x} (\frac{5}{x ^{4}}) = - \frac{20}{x ^{5}}

= - \frac{24}{x ^{7}} - \frac{2}{x ^{2}} - (- \frac{20}{x ^{5}})

Simplify

= - \frac{24}{x ^{7}} - \frac{2}{x ^{2}} + \frac{20}{x ^{5}}

g (x) = 6 x^{2} e^{- x}

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

x \to 0 + lim (\frac{1}{e ^{x}})

12 y^{^{''}} + 4 y^{^{'}} - 5 y = 0

\frac{d}{d x} (- \frac{5}{x})

What is the derivative of 4/(x^6)+2/x-5/(x^4) ?
The derivative of 4/(x^6)+2/x-5/(x^4) is -(24)/(x^7)-2/(x^2)+(20)/(x^5)
What is the first derivative of 4/(x^6)+2/x-5/(x^4) ?
The first derivative of 4/(x^6)+2/x-5/(x^4) is -(24)/(x^7)-2/(x^2)+(20)/(x^5)