What is the derivative of 1/x+3/(x^2+2/(x^3)) ?

The derivative of 1/x+3/(x^2+2/(x^3)) is -1/(x^2)-6/(x^3)-6/(x^4)

What is the first derivative of 1/x+3/(x^2+2/(x^3)) ?

The first derivative of 1/x+3/(x^2+2/(x^3)) is -1/(x^2)-6/(x^3)-6/(x^4)

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\frac{d}{d x} (\frac{1}{x} + \frac{3}{x ^{2}} + \frac{2}{x ^{3}})

- \frac{1}{x ^{2}} - \frac{6}{x ^{3}} - \frac{6}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{1}{x} + \frac{3}{x ^{2}} + \frac{2}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{x}) + \frac{d}{d x} (\frac{3}{x ^{2}}) + \frac{d}{d x} (\frac{2}{x ^{3}})

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

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

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

= - \frac{1}{x ^{2}} - \frac{6}{x ^{3}} - \frac{6}{x ^{4}}

x \to \infty lim (co d s)

\int_{1}^{e} x (ln (x))^{2} d x

\frac{d}{d x} (cos (e^{x^{4} s i n (x)}))

\int \frac{x ^{6} - 3 x}{x ^{4}} d x

\frac{y ^{4}}{8} + \frac{1}{4 y ^{2}}

What is the derivative of 1/x+3/(x^2+2/(x^3)) ?
The derivative of 1/x+3/(x^2+2/(x^3)) is -1/(x^2)-6/(x^3)-6/(x^4)
What is the first derivative of 1/x+3/(x^2+2/(x^3)) ?
The first derivative of 1/x+3/(x^2+2/(x^3)) is -1/(x^2)-6/(x^3)-6/(x^4)