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Popular >

derivative of arcsin(2/x)

Solution

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

Solution

- \frac{2}{x x ^{2} - 4}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{1 - ( \frac{2}{x} ) ^{2}} (- \frac{2}{x ^{2}}) : - \frac{2}{x x ^{2} - 4}

= - \frac{2}{x x ^{2} - 4}

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(x^{2} + y + y^{2}) d x - x d y = 0

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\int \frac{7}{x ^{2} + 3 x - 10} d x

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n = 2 \sum \infty \frac{1}{n}

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\int_{0}^{\infty} \frac{8}{x ^{2} + 1} d x

derivative of sec^2(4x)derivative of

sec^{2} (4 x)

Frequently Asked Questions (FAQ)

What is the derivative of arcsin(2/x) ?
The derivative of arcsin(2/x) is -2/(xsqrt(x^2-4))
What is the first derivative of arcsin(2/x) ?
The first derivative of arcsin(2/x) is -2/(xsqrt(x^2-4))