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Popular >

derivative of arccsc(sqrt(x))

Solution

\frac{d}{d x} (arccsc (x))

Solution

- \frac{1}{2 x x - 1}

Solution steps

\frac{d}{d x} (arccsc (x))

Apply the chain rule:

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

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

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

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

Simplify

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

= - \frac{1}{2 x x - 1}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of arccsc(sqrt(x)) ?
The derivative of arccsc(sqrt(x)) is -1/(2xsqrt(x-1))
What is the first derivative of arccsc(sqrt(x)) ?
The first derivative of arccsc(sqrt(x)) is -1/(2xsqrt(x-1))