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Popular >

derivative of arccot(x/4)

Solution

\frac{d}{d x} (arccot (\frac{x}{4}))

Solution

- \frac{4}{x ^{2} + 16}

Solution steps

\frac{d}{d x} (arccot (\frac{x}{4}))

Apply the chain rule:

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

= - \frac{1}{( \frac{x}{4} ) ^{2} + 1} \frac{d}{d x} (\frac{x}{4})

\frac{d}{d x} (\frac{x}{4}) = \frac{1}{4}

= - \frac{1}{( \frac{x}{4} ) ^{2} + 1} \cdot \frac{1}{4}

Simplify

- \frac{1}{( \frac{x}{4} ) ^{2} + 1} \cdot \frac{1}{4} : - \frac{4}{x ^{2} + 16}

= - \frac{4}{x ^{2} + 16}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of arccot(x/4) ?
The derivative of arccot(x/4) is -4/(x^2+16)
What is the first derivative of arccot(x/4) ?
The first derivative of arccot(x/4) is -4/(x^2+16)