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Popular >

derivative of 2+2/x+6/(x^2)

Solution

derivative of

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

Solution

- \frac{2}{x ^{2}} - \frac{12}{x ^{3}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2) = 0

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

\frac{d}{d x} (\frac{6}{x ^{2}}) = - \frac{12}{x ^{3}}

= 0 - \frac{2}{x ^{2}} - \frac{12}{x ^{3}}

Simplify

= - \frac{2}{x ^{2}} - \frac{12}{x ^{3}}

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(\partial)/(\partial x)(e^xg)

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Frequently Asked Questions (FAQ)

What is the derivative of 2+2/x+6/(x^2) ?
The derivative of 2+2/x+6/(x^2) is -2/(x^2)-(12)/(x^3)
What is the first derivative of 2+2/x+6/(x^2) ?
The first derivative of 2+2/x+6/(x^2) is -2/(x^2)-(12)/(x^3)