What is the derivative of 3/(x^2+5/(x^4)) ?

The derivative of 3/(x^2+5/(x^4)) is -6/(x^3)-(20)/(x^5)

What is the first derivative of 3/(x^2+5/(x^4)) ?

The first derivative of 3/(x^2+5/(x^4)) is -6/(x^3)-(20)/(x^5)

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

- \frac{6}{x ^{3}} - \frac{20}{x ^{5}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - \frac{6}{x ^{3}} - \frac{20}{x ^{5}}

f (x) = x^{2} \cdot ln (x)

\int x e^{- 5 x} d x

\int (tan (θ) + cot (θ))^{2} d θ

\int \frac{6}{x} + 6 x d x

(- 27 sin (3 x) - 27 x cos (3 x))^{^{'}}

What is the derivative of 3/(x^2+5/(x^4)) ?
The derivative of 3/(x^2+5/(x^4)) is -6/(x^3)-(20)/(x^5)
What is the first derivative of 3/(x^2+5/(x^4)) ?
The first derivative of 3/(x^2+5/(x^4)) is -6/(x^3)-(20)/(x^5)