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Popular >

derivative of tan(2/x)

Solution

\frac{d}{d x} (tan (\frac{2}{x}))

Solution

- \frac{2 sec ^{2} ( \frac{2}{x} )}{x ^{2}}

Solution steps

\frac{d}{d x} (tan (\frac{2}{x}))

Apply the chain rule:

sec^{2} (\frac{2}{x}) \frac{d}{d x} (\frac{2}{x})

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

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

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

Simplify

sec^{2} (\frac{2}{x}) (- \frac{2}{x ^{2}}) : - \frac{2 sec ^{2} ( \frac{2}{x} )}{x ^{2}}

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

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\int \frac{x - 6}{x ^{2} - 16 x + 65} d x

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\int 2 sin^{3} (x) cos (x) d x

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\int e^{t^{2}} d t

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\frac{e ^{- 3 s}}{s - 3}

Frequently Asked Questions (FAQ)

What is the derivative of tan(2/x) ?
The derivative of tan(2/x) is -(2sec^2(2/x))/(x^2)
What is the first derivative of tan(2/x) ?
The first derivative of tan(2/x) is -(2sec^2(2/x))/(x^2)