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Popular >

derivative of 4arccot(x/2)

Solution

\frac{d}{d x} (4 arccot (\frac{x}{2}))

Solution

- \frac{8}{x ^{2} + 4}

Solution steps

\frac{d}{d x} (4 arccot (\frac{x}{2}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (arccot (\frac{x}{2}))

Apply the chain rule:

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

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

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

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

Simplify

4 (- \frac{1}{( \frac{x}{2} ) ^{2} + 1} \cdot \frac{1}{2}) : - \frac{8}{x ^{2} + 4}

= - \frac{8}{x ^{2} + 4}

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\int \frac{2 x - 1}{x ^{2} - 6 x + 18} d x

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\int (1 + \frac{1}{t})^{3} (\frac{1}{t ^{2}}) d t

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n = 1 \sum \infty (0.1)^{n}

derivative of (2x+5/(x^2-3))

\frac{d}{d x} (\frac{2 x + 5}{x ^{2} - 3})

Frequently Asked Questions (FAQ)

What is the derivative of 4arccot(x/2) ?
The derivative of 4arccot(x/2) is -8/(x^2+4)
What is the first derivative of 4arccot(x/2) ?
The first derivative of 4arccot(x/2) is -8/(x^2+4)