What is the derivative of (-30)/(x^6)+2/(x^2) ?

The derivative of (-30)/(x^6)+2/(x^2) is (180)/(x^7)-4/(x^3)

What is the first derivative of (-30)/(x^6)+2/(x^2) ?

The first derivative of (-30)/(x^6)+2/(x^2) is (180)/(x^7)-4/(x^3)

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derivative of

\frac{- 30}{x ^{6}} + \frac{2}{x ^{2}}

\frac{180}{x ^{7}} - \frac{4}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{- 30}{x ^{6}} + \frac{2}{x ^{2}})

Simplify

\frac{- 30}{x ^{6}} + \frac{2}{x ^{2}} : - \frac{30}{x ^{6}} + \frac{2}{x ^{2}}

= \frac{d}{d x} (- \frac{30}{x ^{6}} + \frac{2}{x ^{2}})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{30}{x ^{6}}) + \frac{d}{d x} (\frac{2}{x ^{2}})

\frac{d}{d x} (\frac{30}{x ^{6}}) = - \frac{180}{x ^{7}}

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

= - (- \frac{180}{x ^{7}}) - \frac{4}{x ^{3}}

Simplify

= \frac{180}{x ^{7}} - \frac{4}{x ^{3}}

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

sin (x), cos (x), [0, 2 π]

(x^{2} + y) + (x + e^{y}) \frac{d y}{d x} = 0

\int \frac{3 y ^{2} + 1}{y ^{3} + y} d y

What is the derivative of (-30)/(x^6)+2/(x^2) ?
The derivative of (-30)/(x^6)+2/(x^2) is (180)/(x^7)-4/(x^3)
What is the first derivative of (-30)/(x^6)+2/(x^2) ?
The first derivative of (-30)/(x^6)+2/(x^2) is (180)/(x^7)-4/(x^3)