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Popular >

derivative of 1/(x^7+2/(x^3))

Solution

\frac{d}{d x} (\frac{1}{x ^{7}} + \frac{2}{x ^{3}})

Solution

- \frac{7}{x ^{8}} - \frac{6}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{1}{x ^{7}} + \frac{2}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{x ^{7}}) + \frac{d}{d x} (\frac{2}{x ^{3}})

\frac{d}{d x} (\frac{1}{x ^{7}}) = - \frac{7}{x ^{8}}

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

= - \frac{7}{x ^{8}} - \frac{6}{x ^{4}}

Popular Examples

integral from-1 to 1 of 2-2x^2

\int_{- 1}^{1} 2 - 2 x^{2} d x

y^{''}+2y^'+y=x^2e^{-x}

y^{^{''}} + 2 y^{^{'}} + y = x^{2} e^{- x}

derivative of tan(t)derivative of

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f (x) = 36 x (9 - x^{2})^{- 2}

integral from 1 to 4 of 1/(6-sqrt(x))

\int_{1}^{4} \frac{1}{6 - x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 1/(x^7+2/(x^3)) ?
The derivative of 1/(x^7+2/(x^3)) is -7/(x^8)-6/(x^4)
What is the first derivative of 1/(x^7+2/(x^3)) ?
The first derivative of 1/(x^7+2/(x^3)) is -7/(x^8)-6/(x^4)