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Popular >

derivative of arccot(sqrt(2x))

Solution

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

Solution

- \frac{1}{2 x ( 2 x + 1 )}

Solution steps

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

Simplify

arccot (2 x) : arccot (2 x)

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

What is the derivative of arccot(sqrt(2x)) ?
The derivative of arccot(sqrt(2x)) is -1/(sqrt(2)\sqrt{x)(2x+1)}
What is the first derivative of arccot(sqrt(2x)) ?
The first derivative of arccot(sqrt(2x)) is -1/(sqrt(2)\sqrt{x)(2x+1)}