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Popular >

derivative of arccot(x/6)

Solution

derivative of

arccot (\frac{x}{6})

Solution

- \frac{6}{x ^{2} + 36}

Solution steps

\frac{d}{d x} (arccot (\frac{x}{6}))

Apply the chain rule:

- \frac{1}{( \frac{x}{6} ) ^{2} + 1} \frac{d}{d x} (\frac{x}{6})

= - \frac{1}{( \frac{x}{6} ) ^{2} + 1} \frac{d}{d x} (\frac{x}{6})

\frac{d}{d x} (\frac{x}{6}) = \frac{1}{6}

= - \frac{1}{( \frac{x}{6} ) ^{2} + 1} \cdot \frac{1}{6}

Simplify

- \frac{1}{( \frac{x}{6} ) ^{2} + 1} \cdot \frac{1}{6} : - \frac{6}{x ^{2} + 36}

= - \frac{6}{x ^{2} + 36}

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x \to - \infty lim (x^{4})

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f (x) = 4 x^{3} + 3 x, at x = - 4, - 1

y^'+y/t =6cos(5t)

y^{^{'}} + \frac{y}{t} = 6 cos (5 t)

integral of x^2(x^3+8)^{11}

\int x^{2} (x^{3} + 8)^{11} d x

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x \to 0 lim (2 x^{2} - 3)

Frequently Asked Questions (FAQ)

What is the derivative of arccot(x/6) ?
The derivative of arccot(x/6) is -6/(x^2+36)
What is the first derivative of arccot(x/6) ?
The first derivative of arccot(x/6) is -6/(x^2+36)